Exact Jacobian elliptic function solutions and hyperbolic function solutions for Sawada-Kotere equation with variable coefficient

DOI10.1016/j.physleta.2005.12.007zbMath1187.35217OpenAlexW1973457183MaRDI QIDQ973595

Jia-Min Zhu, Qing Liu

Publication date: 2 June 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.12.007

zbMATH Keywords

Jacobian elliptic functionmapping methodhyperbolic functionvariable-coefficient equationSawada-Kotere equation

Mathematics Subject Classification ID

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

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Cites Work

• New exact solutions of the \((2+1)\)-dimensional KdV equation with variable coefficients
• A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
• Extended tanh-function method and its applications to nonlinear equations
• The Soliton Solution of (3+1)-Dimensional Kadomtsev–Petviashvili Equations
• Solitary wave solutions of nonlinear wave equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Method for Solving the Korteweg-deVries Equation
• The Study of Exact Solutions to the Nonlinear Schrödinger Equations in Optical Fiber
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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