EXPLICIT AND EXACT SOLUTIONS TO THE mKdV-SINE-GORDON EQUATION

DOI10.1142/S0217984908016194zbMath1152.35483OpenAlexW2087261661MaRDI QIDQ3528827

Yuanxi Xie

Publication date: 17 October 2008

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984908016194

zbMATH Keywords

explicit and exact solutionauxiliary ordinary differential equationmKdV-sine-Gordon equation

Mathematics Subject Classification ID

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

Cites Work

• Partial differential equations possessing Frobenius integrable decompositions
• Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method
• A direct method for solving sine-Gordon type equations
• Solitary wave solutions for variant Boussinesq equations
• Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
• Solitary wave solutions of nonlinear wave equations
• The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations
• A unified trial function method in finding the explicit and exact solutions to three NPDEs

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