Anjan Biswas

Anjan Biswas

Assistant Professor of Mathematics

Office: PMB 245 G Boswell Science

Complex

Phone: (615) 963-5535/7063

Fax: (615) 963-5099

EDUCATIONAL BACKGROUND

Ph.D in Applied Mathematics, 1998. University of New Mexico, Albuquerque, New Mexico, USA.
Thesis Title: 1-SOLITON DYNAMICS OF THE PERTURBED NONLINEAR SCHRODINGER'S EQUATION

M.A. in Applied Mathematics, 1993. University of New Mexico, Albuquerque, New Mexico, USA.

M.Phil in Applied Mathematics, 1989. University of Calcutta, India.
Thesis Title: ON MULTI-OBJECTIVE DECISION MAKING IN A FUZZY ENVIRONMENT

M.Sc in Applied Mathematics, 1988. University of Calcutta, India.
Thesis Title: ON WEIGHTED ENTROPY AND ITS APPLICATIONS

B.Sc (Honors) in Mathematics, 1986. St. Xavier's College, Calcutta, India.

POSITIONS HELD

Assistant Professor, Tennessee State University, Nashville, TN (2000-).
Research Associate, University of Colorado, Boulder, CO (1999-2000).
Instructor, Valley City State University, Valley City, ND (1998-99).
Teaching Assistant, Univ. of New Mexico, Albuquerque, NM (1991-98).

PROFESSIONAL ORGANIZATIONS

American Mathematical Society (AMS), 1991-present.
Society of Industrial and Applied Mathematics (SIAM), 1992-present.

CONFERENCE PRESENTATIONS (CONTRIBUTED TALKS)

MULTIPLE-SCALE PERTURBATION ANALYSIS OF THE PERTURBED NONLINEAR SCHRODINGER'S EQUATION. Southwest Dynamical System Conference. Denton TX. (April, 1997).

ANALYSIS OF THE PERTURBED NONLINEAR SCHRODINGER'S EQUATION. Fourth International SIAM Conference on Mathematical and Numerical Aspects of Wave Propagation. Golden, CO. (June, 1998).

OPTICAL SOLITON PERTURBATION WITH RAMAN SCATTERING AND NONLINEAR DAMPING. Fifteenth Conference in Applied Mathematics. Edmond, OK. (February, 1999).

INTEGRO-DIFFERENTIAL PERTURBATION OF OPTICAL SOLITONS WITH NONLINEAR DAMPING. Eighth International Conference on Differential Equations and Mathematical Physics. Birmingham, AL. (March, 1999).

OPTICAL SOLITON PERTURBATION WITH NONLINEAR DAMPING AND SATURABLE AMPLIFIERS. IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomenon: Computation and Theory. Athens, GA. (April, 1999).

TIMING JITTER FOR DISPERSION-MANAGED SOLITONS IN OPTICAL FIBERS. Second IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomenon: Computation and Theory. Athens, GA. (April, 2001).

PERTURBATION OF SOLITONS WITH POWER LAW NONLINEARITY. Second Annual Southeastern-Atlantic Regional Conference on Differential Equations. Knoxville, TN. (October, 2002).

OPTICAL SOLITONS WITH SATURABLE LAW NONLINEARITY. SIAM International Conference on Nonlinear Waves and Applications. Orlando, FL. (October, 2004).

CONFERENCE PRESENTATION (CONTRIBUTED POSTER)

1-SOLITON DYNAMICS OF THE PERTURBED NONLINEAR SCHRODINGER'S EQUATION. Annual International Conference on Nonlinear Waves and Solitons in Physical Systems. Los Alamos, NM. (May, 1997).

CONFERENCE PRESENTATIONS (INVITED TALKS)

TIMING JITTER FOR DISPERSION-MANAGED SOLITONS IN OPTICAL FIBERS. Conference on Soliton Equations: Applications and Theory. Colorado Springs, CO. (August, 2001).

STOCHASTIC PERTURBATION OF SOLITONS IN OPTICAL FIBERS. Fourth International Conference on Dynamical System and Differential Equations. Wilmington, NC. (May, 2002).

GABITOV-TURITSYN EQUATION FOR SOLITONS IN MULTIPLE CHANNELS. Second International Conference on Neural, Parallel and Scientific Computations. Atlanta, GA. (August, 2002).

QUASI-STATIONARY OPTICAL SOLITONS WITH POWER LAW NONLINEARITY. Fourth International Conference on Dynamic Systems and Applications. Atlanta, GA. (May, 2003).

QUASI-STATIONARY OPTICAL SOLITONS WITH PARABOLIC LAW NONLINEARITY. Progress in Electromagnetic Research Symposium. Honolulu, HI. (October, 2003).

STOCHASTIC PERTURBATION OF POWER LAW OPTICAL SOLITONS. Fourth World Congress on Nonlinear Analysts. Orlando, FL. (July, 2004).

OPTICAL SOLITONS IN A SATURABLE NONLINEAR MEDIA. Eleventh International Congress on Computational and Applied Mathematics. Leuven, Belgium. (July, 2004).

CONFERENCE SERVICE

Chaired the session `Nonlinear Waves V at the Fourth SIAM International Conference on Mathematical and Numerical Aspects of Wave Propagation. Golden, CO. (June, 1998).

INVITED SEMINARS

Center for Nonlinear Studies in Los Alamos National Laboratory, NM. 1-SOLITON DYNAMICS OF THE PERTURBED NONLINEAR SCHRODINGER'S EQUATION. Host: Dr. Benjamin P. Luce. (June, 1998).

Department of Mathematics and Statistics of the University of Arkansas at Little Rock. OPTICAL SOLITON PERTURBATION WITH BANDWIDTH LIMITED AMPLIFICATION AND SATURABLE

AMPLIFIERS. Host: Prof. Randy Schilling. (March, 2000).

Department of Applied Mathematics at the University of Colorado at Boulder. DYNAMICS OF SOLITONS IN OPTICAL FIBERS. Host: Prof. Mark J. Ablowitz. (April, 2000).

Department of Mathematical Sciences at the New Jersey Institute of Technology. DYNAMICS OF SOLITONS IN OPTICAL FIBERS. Host: Prof. Daljit Ahluwalia. (April, 2000).

Department of Computing and Mathematical Sciences at Texas A & M University in Corpus Christi. OPTICAL SOLITON PERTURBATION WITH BANDWIDTH LIMITED AMPLIFICATION AND SATURABLE AMPLIFIERS. Host: Prof. Edward Jones. (May, 2000).

Department of Mathematics and Statistics of Jackson State University at Jackson, MS. OPTICAL SOLITON PERTURBATION WITH BANDWIDTH LIMITED AMPLIFICATION AND SATURABLE AMPLIFIERS. Host: Prof. Paul C. Stein. (August, 2000).

Department of Physics and Mathematics of Tennessee State University at Nashville, TN. TIMING JITTER FOR DISPERSION-MANAGED SOLITONS IN OPTICAL FIBERS. Host: Prof. S. Sathananthan. (October, 2001).

PUBLICATIONS (CONFERENCE ABSTRACTS)

INTEGRO-DIFFERENTIAL PERTURBATIONS OF OPTICAL SOLITONS WITH NONLINEAR DAMPING by Anjan Biswas. Book of Abstracts of the International Conference on Differential Equations and Mathematical Physics. Birmingham, AL. (March, 1999).

OPTICAL SOLITON PERTURBATION WITH NONLINER DAMPING AND SATURABLE AMPLIFIERS by Anjan Biswas. Book of Abstracts of the IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomenon: Computation and Theory. Athens, GA. (April, 1999).

TIMING JITTER FOR DISPERSION-MANAGED SOLITONS IN OPTICAL FIBERS by Mark J. Ablowitz, Gino Biondini, Anjan Biswas, Sarbarish Chakravarty, Toshihiko Hirooka & Rudy L. Horne. Book of Abstracts of the Second IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomenon: Computation and Theory. Athens, GA. (April, 2001).

STOCHASTIC PERTURBATION OF SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Book of Program and Abstracts of the Dynamical Systems and Differential Equations. Wilmington, NC. (May, 2002).

QUASI-STATIONARY OPTICAL SOLITONS WITH POWER LAW NONLINEARITY by Anjan Biswas. Book of Abstracts of the Fourth International Conference on Dynamic Systems and Applications. Atlanta, GA. (May, 2003).

QUASI-STATIONARY OPTICAL SOLITONS WITH PARABOLIC LAW NONLINEARITY by Anjan Biswas. Proceedings of the Progress in Electromagnetic Research Symposium. Honolulu, HI. (October, 2003).

PUBLICATIONS (CONFERENCE PROCEEDINGS)

ANALYSIS OF THE PERTURBED NONLINEAR SCHRODINGER'S EQUATION by Anjan Biswas. Mathematical and Numerical Aspects of Wave Propagation. SIAM, Philadelphia. 694-697. (1998).

OPTICAL SOLITON PERTURBATION WITH RAMAN SCATTERING AND NONLINEAR DAMPING by Anjan Biswas. Proceedings of the Fifteenth Annual Conference on Applied Mathematics. University of Central Oklahoma, 14-28. (1999).

PUBLICATIONS (REFEREED JOURNAL ABSTRACTS)

DYNAMICS OF GAUSSIAN AND SUPER-GAUSSIAN SOLITONS IN BIREFRINGENT OPTICAL FIBERS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 15, No 6, 813-814. (2001).

THEORY OF OPTICAL BULLETS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 16, No 3, 419-420. (2002).

PUBLICATIONS (INVITED PAPERS)

DYNAMICS OF GAUSSIAN AND SUPER-GAUSSIAN SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Far East Journal of Applied Mathematics. Vol 5, No 1, 1-16. (2001).

MULTIPLE-SCALE ANALYSIS FOR NON-KERR LAW SOLITONS by Anjan Biswas. International Mathematical Journal. Vol 2, No 12, 1157-1197. (2002).

ASYMPTOTIC ANALYSIS OF THE GABITOV-TURITSYN EQUATION by Anjan Biswas. International Journal of Pure and Applied Mathematics. Vol 7, No 4, 399-434. (2003).

DISPERSION-MANAGED SOLITONS IN BIREFRINGENT FIBERS AND MULTIPLE CHANNELS by Anjan Biswas. To appear in International Mathematical Journal.

PUBLICATIONS (REFEREED JOURNAL PAPERS, 1999)

OPTICAL SOLITON PERTURBATION WITH BANDWIDTH LIMITED AMPLIFICATION AND SATURABLE AMPLIFIERS by Anjan Biswas. Journal of Nonlinear Optical Physics and Materials. Vol 8, No 2, 277-288. (1999).

SOLITON-SOLITON INTERACTION IN OPTICAL FIBERS by Anjan Biswas. Journal of Nonlinear Optical Physics and Materials. Vol 8, No 4, 483-495. (1999).

(REFEREED JOURNAL PAPERS, 2000)

PERTURBATION OF OPTICAL SOLITONS AND QUASI-SOLITONS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 14, No 1, 95-114. (2000).

INTEGRO-DIFFERENTIAL PERTURBATION OF OPTICAL SOLITONS by Anjan Biswas. Journal of Optics A. Vol 2, No 5, 380-388. (2000).

(REFEREED JOURNAL PAPERS, 2001)

DYNAMICS OF SOLITONS IN OPTICAL FIBERS by Anjan Biswas & Alejandro B. Aceves. Journal of Modern Optics. Vol 48, No 7, 1135-1150. (2001).

PERTURBATION OF SOLITONS WITH POWER LAW NONLINEARITY by Anjan Biswas. Chaos, Solitons & Fractals. Vol 12, Issue 3, 579-588. (2001).

DYNAMICS OF GAUSSIAN AND SUPER-GAUSSIAN SOLITONS IN BIREFRINGENT OPTICAL FIBERS by Anjan Biswas. Progress in Electromagnetic Research. Vol 33, 119-139. (2001).

DYNAMICS OF SUPER-GAUSSIAN SOLITONS IN BIREFRINGENT OPTICAL FIBERS by Anjan Biswas. Journal of Nonlinear Optical Physics and Materials. Vol 10, No 1, 29-42. (2001).

STATISTICAL DYNAMICS OF SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Fiber and Integrated Optics. Vol 20, No 5, 495-501. (2001).

DISPERSION-MANAGED VECTOR SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Fiber and Integrated Optics. Vol 20, No 5, 503-515. (2001).

DYNAMICALLY STABLE SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Fiber and Integrated Optics. Vol 20, No 6, 615-622. (2001).

DISPERSION-MANAGED SOLITONS IN MULTIPLE-CORE NON-LINEAR FIBER ARRAYS by Anjan Biswas. Fiber and Integrated Optics. Vol 20, No 6, 571-579. (2001).

SOLITONS IN NONLINEAR FIBER ARRAYS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 15, No 9, 1189-1196. (2001).

SOLITONS IN MULTIPLE-CORE COUPLERS by Anjan Biswas. Journal of Nonlinear Optical Physics and Materials. Vol 10, No 3, 329-336. (2001).

OPTICAL SOLITON PERTURBATION WITH NONLINEAR DAMPING AND SATURABLE AMPLIFIERS by Anjan Biswas. Mathematics and Computers in Simulation. Vol 56, Issue 6, 521-537. (2001).

OPTICAL SOLITON PERTURBATION WITH RAMAN SCATTERING AND SATURABLE AMPLIFIERS by Anjan Biswas. Optical and Quantum Electronics. Vol 33, Issue 3, 289-304. (2001).

OPTICAL SOLITON PERTURBATION WITH HIGHER ORDER DISPERSIONS by Anjan Biswas. Fiber and Integrated Optics. Vol 20, No 2, 171-189. (2001).

(REFEREED JOURNAL PAPERS, 2002)

COLLISION-INDUCED TIMING SHIFTS IN DISPERSION-MANAGED SOLITON SYSTEMS by Mark J. Ablowitz, Gino Biondini, Anjan Biswas, Andrew Docherty, Toshihiko Hirooka & Sarbarish Chakravarty. Optics Letters. Vol 27, Issue 5, 318-320. (2002).

DISPERSION-MANAGED SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Journal of Optics A. Vol 4, No 1, 84-97. (2002).

THEORY OF OPTICAL BULLETS by Anjan Biswas. Progress in Electromagnetic Research. Vol 36, 21-59. (2002).

PERTURBATION OF SOLITONS WITH NON-KERR LAW NON-LINEARITY by Anjan Biswas. Chaos, Solitons & Fractals. Vol 13, Issue 4, 815-823. (2002).

DYNAMICS OF OPTICAL SOLITONS WITH DISPERSION-MANAGEMENT by Anjan Biswas. Chaos, Solitons & Fractals. Vol 14, Issue 3, 447-468. (2002).

OPTICAL SOLITON PERTURBATION WITH RAMAN SCATTERING AND NONLINEAR DAMPING by Anjan Biswas. Fiber and Integrated Optics. Vol 21, No 2, 125-143. (2002).

INTEGRO-DIFFERENTIAL PERTURBATIONS OF NON-KERR LAW SOLITONS by Anjan Biswas. Chaos, Solitons & Fractals. Vol 14, Issue 5, 673-679. (2002).

SUPER-GAUSSIAN SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Fiber and Integrated Optics. Vol 21, No 2, 115-124. (2002).

GAUSSIAN SOLITONS IN BIREFRINGENT OPTICAL FIBERS by Anjan Biswas. International Journal of Pure and Applied Mathematics. Vol 2, No 1, 87-104. (2002).

ADIABATIC DYNAMICS OF NON-KERR LAW GENERALIZED VECTOR SOLITONS by Anjan Biswas. International Journal of Applied Mathematics. Vol 8, No 4, 381-393. (2002).

(REFEREED JOURNAL PAPERS, 2003)

QUASI-STATIONARY OPTICAL SOLITONS WITH PARABOLIC LAW NONLINEARITY by Anjan Biswas. Optics Communications. Vol 216, Issue 4-6, 427-437. (2003).

QUASI-STATIONARY OPTICAL SOLITONS WITH POWER LAW NONLINEARITY by Anjan Biswas. Journal of Physics A. Vol 36, Issue 16, 4581-4589. (2003).

THEORY OF OPTICAL COUPLERS by Anjan Biswas. Optical and Quantum Electronics. Vol 35, Issue 3, 221-235. (2003).

OPTICAL SOLITONS: QUASI-STATIONARITY VERSUS LIE TRANSFORM by Anjan Biswas. Optical and Quantum Electronics. Vol 35, Issue 10, 979-998. (2003).

THEORY OF NON-KERR LAW GENERALIZED VECTOR SOLITONS by Anjan Biswas. Applied Mathematics and Computation. Vol 136, Issue 2-3, 443-452. (2003).

INTEGRO-DIFFERENTIAL PERTURBATIONS OF DISPERSION MANAGED SOLITONS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 17, No 4, 641-665. (2003).

GABITOV-TURITSYN EQUATION FOR SOLITONS IN MULTIPLE CHANNELS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 17, No 11, 1539-1560. (2003).

GABITOV-TURITSYN EQUATION FOR SOLITONS IN OPTICAL FIBERS by Anjan Biswas. Journal of Nonlinear Optical Physics and Materials. Vol 12, No 1, 17-37. (2003).

DISPERSION-MANAGED SOLITONS IN OPTICAL COUPLERS by Anjan Biswas. Journal of Nonlinear Optical Physics and Materials. Vol 12, No 1, 45-74. (2003).

QUASI-STATIONARY NON-KERR LAW OPTICAL SOLITONS by Anjan Biswas. Optical Fiber Technology. Vol 9, Issue 4, 224-259. (2003).

(REFEREED JOURNAL PAPERS, 2004)

DYNAMICS OF STOCHASTIC OPTICAL SOLITONS by Anjan Biswas. Journal of Electromagnetic Waves and Applications. Vol 18, No 2, 145-152. (2004).

(REFEREED JOURNAL PAPERS, Accepted)

ADIABATIC DYNAMICS OF NON-KERR LAW SOLITONS.
Accepted for publication in Applied Mathematics and Computation.

THEORY OF NON-KERR LAW SOLITONS.
Accepted for publication in Applied Mathematics and Computation.

SOLITONS IN MAGNETO-OPTIC WAVEGUIDES.
Accepted for publication in Applied Mathematics and Computation.

SOLITONS IN NON-KERR LAW COUPLERS.
Accepted for publication in Chaos, Solitons & Fractals.

QUASI-LINEAR PULSES IN MULTIPLE CHANNELS.
Accepted for publication in Optical and Quantum Electronics.

INVITED REFEREE

Served as a referee for papers submitted to the following journals:

Communications in Nonlinear Science and Numerical Simulation.
-Journal of Nonlinear Optical Physics and Materials.
-Journal of Electromagnetic Waves and Applications.
-Mathematics and Computers in Simulation.
-Progress in Electromagnetic Research.
-Journal of Optical Materials.
-Optics Communications.

GRANT

2002-2007. NSF Grant: "Large-Scale Stochastic Dynamic Systems and Applications". $1,000,000. (5 years).

STUDENT SUPERVISED (UNDERGRADUATE LEVEL-SENIOR THESIS)

Crystal R. Lewis. (2002). Traveling Wave solution for the higher order Korteweg de-Vries Equation.

STUDENT UNDER SUPERVISION (GRADUATE LEVEL-MASTERS' THESIS)

Candice Griffith. (2004). Intra-channel collision of optical solitons.