New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method

DOI10.1016/j.amc.2015.03.117zbMath1410.35162OpenAlexW2019025756WikidataQ115361359 ScholiaQ115361359MaRDI QIDQ1643321

Amr M. Amin, Mina B. Abd-El-malek

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.117

zbMATH Keywords

Lie group methodJacobi doubly periodic wave solutionsKdV-Kadmotsev and Petviashvili equationthe extended \(F\)-expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (1)

NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION

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