A variational principle for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity

DOI10.1016/j.camwa.2010.08.062zbMath1219.65146OpenAlexW2063235551MaRDI QIDQ636618

Xin-Wei Zhou, Lin Wang

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.062

zbMATH Keywords

variational principlenonlinear Schrödinger equationssemi-inverse method

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

A note on the semi-inverse method and a variational principle for the generalized KdV-mKdV equation ⋮ Variational principles for buckling of microtubules modeled as nonlocal orthotropic shells ⋮ New energy-preserving schemes for Klein-Gordon-Schrödinger equations ⋮ On the variational principle for the non-linear Schrödinger equation ⋮ Some special structures for the generalized nonlinear Schrödinger equation with nonlinear dispersion

Cites Work

• Variational approach to the Broer-Kaup-Kupershmidt equation
• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Variational iteration method for coupled nonlinear Schrödinger equations
• Application of He's semi-inverse method to the nonlinear Schrödinger equation
• Exp-function method for nonlinear wave equations
• Variational principle for variable coefficients KdV equation
• Variational principles for coupled nonlinear Schrödinger equations
• Exp-function method for solving Huxley equation
• Variational principles for some nonlinear partial differential equations with variable coefficients
• Bound and ground states of coupled nonlinear Schrödinger equations
• Variational approach to \((2+1)\)-dimensional dispersive long water equations
• Variational principle for nonlinear Schrödinger equation with high nonlinearity
• On the modulation of water waves in the neighbourhood of kh ≈ 1.363
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

This page was built for publication: A variational principle for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity