A METHOD TO CONSTRUCT WEIERSTRASS ELLIPTIC FUNCTION SOLUTION FOR NONLINEAR EQUATIONS

DOI10.1142/S0217979211100436zbMath1333.37114OpenAlexW2124633103MaRDI QIDQ2797186

Hong-Wei Zhao, Hao Meng, Shi-Ping Zhou, Ling-Feng Zhang, Liang-Ma Shi

Publication date: 5 April 2016

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

Full work available at URL: https://doi.org/10.1142/s0217979211100436

Mathematics Subject Classification ID

General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Elliptic integrals as hypergeometric functions (33C75)

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Cites Work

• Elliptic solutions to a generalized BBM equation
• Exact solutions to sine-Gordon-type equations
• Solitary wave solutions for variant Boussinesq equations
• A simple transformation for nonlinear waves.
• New Weierstrass elliptic function solutions of the \(N\)-coupled nonlinear Klein-Gordon equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems

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