TRAVELLING WAVE SOLUTIONS TO THE COUPLED DISCRETE NONLINEAR SCHRÖDINGER EQUATIONS

DOI10.1142/S0217979205029778zbMath1101.81048OpenAlexW2026904652MaRDI QIDQ3410162

Chao-Qing Dai, Jie-Fang Zhang

Publication date: 22 November 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979205029778

zbMATH Keywords

solitonic solutionstrigonometric function solutionsJacobian elliptic function solutionsCoupled discrete nonlinear Schrödinger equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (9)

Exponential function rational expansion method for nonlinear differential-difference equations ⋮ Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger system ⋮ The application of He's exp-function method to a nonlinear differential-difference equation ⋮ The exponential function rational expansion method and exact solutions to nonlinear lattice equations system ⋮ Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings ⋮ Domain wall arrays, fronts, and bright and dark solitons in a generalized derivative nonlinear Schrödinger equation ⋮ Doubly periodic wave solutions and soliton solutions of Ablowitz-Ladik lattice system ⋮ Application of the exp-function method for nonlinear differential-difference equations ⋮ Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method

Cites Work

• Solitons in coupled Ablowitz-Ladik chains
• Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• A Nonlinear Difference Scheme and Inverse Scattering
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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