Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations

DOI10.1016/j.amc.2003.12.006zbMath1064.35192OpenAlexW2011464269MaRDI QIDQ1764712

Song Jiang, Xi-Qiang Liu

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.006

zbMATH Keywords

tanh-methodsec\(_q\)-tanh\(_q\)-method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Related Items

Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations ⋮ Symbolic Computation and q -Deformed Function Solutions of (2+1)-Dimensional Breaking Soliton Equation ⋮ Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation ⋮ High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation ⋮ Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation

Cites Work

• Exactly solvable supersymmetric quantum mechanics
• The sec\(_q\)-tanh\(_q\)-method and its applications
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Extended tanh-function method and its applications to nonlinear equations
• Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time
• Exact solitary waves in a convecting fluid
• Periodic solutions for a system of four coupled nonlinear Schrödinger equations