BIOMAT Database Logo BIOMAT Database Logo

Periodic solutions for systems of coupled nonlinear Schrödinger equations with three and four components. 2003

K W Chow, and D W C Lai
Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong. kwchow@hkusua.hku.hk

Periodic solutions for systems of coupled nonlinear Schrödinger equations (CNLS) are established by the Hirota bilinear method and elliptic functions. The interesting feature is the choice of theta functions in the formulation. The sum of moduli of the components or the total intensity of the beam in physical terms, will now be a rational function, instead of a polynomial, of elliptic functions. Each component of the CNLS may have multiple peaks within one period.

UI MeSH Term Description Entries

Related Publications

K W Chow, and D W C Lai
Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds.
September 2022, Scientific reports,
K W Chow, and D W C Lai
Perturbation theory for coupled nonlinear Schrödinger equations.
November 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
K W Chow, and D W C Lai
Exact soliton solutions to coupled nonlinear Schrödinger equations with higher-order effects.
September 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
K W Chow, and D W C Lai
Soliton, rational, and periodic solutions for the infinite hierarchy of defocusing nonlinear Schrödinger equations.
July 2016, Physical review. E,
K W Chow, and D W C Lai
Exact analytical soliton solutions of N-component coupled nonlinear Schrödinger equations with arbitrary nonlinear parameters.
December 2022, Physical review. E,
K W Chow, and D W C Lai
Approximate interacting solitary wave solutions for a pair of coupled nonlinear Schrödinger equations.
June 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics,
K W Chow, and D W C Lai
Soliton interactions and complexes for coupled nonlinear Schrödinger equations.
March 2012, Physical review. E, Statistical, nonlinear, and soft matter physics,
K W Chow, and D W C Lai
Integrable pair-transition-coupled nonlinear Schrödinger equations.
August 2015, Physical review. E, Statistical, nonlinear, and soft matter physics,
K W Chow, and D W C Lai
Bound solitons in coupled nonlinear Schrödinger equations.
June 1992, Physical review. A, Atomic, molecular, and optical physics,
K W Chow, and D W C Lai
Segregated and synchronized vector solutions to linearly coupled systems of Schrödinger equations.
September 2015, Journal of mathematical physics,
Copied contents to your clipboard!