Some exact solutions of the variable coefficient Schrödinger equation

DOI10.1016/J.CNSNS.2006.01.009zbMath1118.35356OpenAlexW2008026205MaRDI QIDQ2373510

Xi-Qiang Liu, Zhi-Lian Yan

Publication date: 11 July 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.01.009

zbMATH Keywords

reductionelliptic function solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Solutions to PDEs in closed form (35C05)

Related Items (7)

ON INTEGRABILITY OF VARIABLE COEFFICIENT NONLINEAR SCHRÖDINGER EQUATIONS ⋮ A simple direct method to find equivalence transformations of a generalized nonlinear Schrödinger equation and a generalized KdV equation ⋮ The bifurcation and exact travelling wave solutions of \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: two analytical approaches ⋮ A semi-inverse variational method for generating the bound state energy eigenvalues in a quantum system: the Schrödinger equation ⋮ New soliton and periodic solutions of \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ Solitary wave solutions for \((1+2)\)-dimensional nonlinear Schrödinger equation with dual power law nonlinearity

Cites Work

• Soliton solutions in linear magnetic field and time-dependent laser field.
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
• Painlevé analysis of the damped, driven nonlinear Schrödinger equation

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