Applications of the extended test approach to \((2+1)\)-dimensional Gardner equation

DOI10.1007/S13226-014-0072-9zbMath1334.35277OpenAlexW2044821233MaRDI QIDQ254728

Mohammed K. Elboree

Publication date: 8 March 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-014-0072-9

zbMATH Keywords

\((2+1)\)-dimensional Gardner equationbreather-type soliton solutionsextended test approach (ETA)periodic-type soliton solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Second-order parabolic systems (35K40) Soliton solutions (35C08)

Related Items (2)

Conservation laws, soliton solutions for modified Camassa-Holm equation and \((2+1)\)-dimensional ZK-BBM equation ⋮ New multi-soliton solutions of a \((3+1)\)-dimensional nonlinear evolution equation

Cites Work

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• Inverse spectral transform for the (2 + 1)-dimensional Gardner equation
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• New Exact Periodic Solitary-Wave Solutions for New (2+1)-Dimensional KdV Equation

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