Exact solutions to the sine-Gordon-type equations

DOI10.1016/j.amc.2008.02.032zbMath1158.35414OpenAlexW2000069707MaRDI QIDQ942375

Yuzhen Chen, Xue-Lin Yong

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.032

zbMATH Keywords

exact solutionsprojective Riccati equationsine-Gordon-type equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (1)

Particular solutions to equations of sine-Gordon type

Cites Work

• New exact solutions of the double sine-Gordon equation using symbolic computations
• Exact solutions to sine-Gordon-type equations
• Perturbation theory for the double sine-Gordon equation
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order
• New transformations and new approach to find exact solutions to nonlinear equations
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• New kinds of solutions to Gardner equation
• Mixing exponential and double sine-Gordon equation
• New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the \((n+1)\)-dimensional double sine-Gordon equations
• New exact solutions to the generalized coupled Hirota--Satsuma KdV system
• Link between solitary waves and projective Riccati equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
• Unnamed Item

This page was built for publication: Exact solutions to the sine-Gordon-type equations