The geometric series method for constructing exact solutions to nonlinear evolution equations

DOI10.1134/S0965542517070065zbMath1379.35053OpenAlexW2740575960MaRDI QIDQ1683032

A. I. Zemlyanukhin, Andrey V. Bochkarev

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517070065

zbMATH Keywords

exact solutionperturbation methodPadé approximant

Mathematics Subject Classification ID

Series solutions to PDEs (35C10)

Related Items (2)

Exact solutions to the four-component Merola-Ragnisco-Tu lattice equations ⋮ The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells

Uses Software

• PDESpecialSolutions

Cites Work

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• Exact solutions of the generalized Bretherton equation
• Tzitzéica equation and proliferation of nonlinear integrable equations
• Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
• A straightforward method for finding implicit solitary wave solutions of nonlinear evolution and wave equations
• Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
• Link between solitary waves and projective Riccati equations
• Formal Linearization and Exact Solutions of Some Nonlinear Partial Differential Equations

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