Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method

DOI10.1016/j.joems.2017.09.001zbMath1398.35195OpenAlexW2761784877MaRDI QIDQ1686394

Khaled A. Gepreel, Taher A. Nofal, Ameara A. Alasmari

Publication date: 22 December 2017

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2017.09.001

zbMATH Keywords

\((1+1)\)-dimensional integro-differential Ito equation\((2+1)\)-dimensional integro-differential Sawada-Kotera equationgeneralized Kudryashov methodtwo members of integro-differential Kadomtsev-Petviashvili (KP) hierarchy equations

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) Traveling wave solutions (35C07) Soliton solutions (35C08) Integro-partial differential equations (35R09)

Related Items (7)

The generalized kudryashov method for new closed form traveling wave solutions to some NLEEs ⋮ Multiple breathers and rational solutions to Ito integro-differential equation arising in shallow water waves ⋮ Solutions of nonlinear integro-partial differential equations by the method of \((G^\prime/G, 1/G)\) ⋮ Refinement of SOR Iterative Method for the Linear Rational Finite Difference Solution of Second-Order Fredholm Integro-Differential Equations ⋮ Solitary wave solutions of nonlinear integro-partial differential equations of \((2 + 1)\)-dimensional and its models ⋮ Multiple rogue wave and breather solutions for the \((3+1)\)-dimensional KPI equation ⋮ EXACT TRAVELLING WAVE SOLUTIONS TO THE SPACE-TIME FRACTIONAL CALOGERO-DEGASPERIS EQUATION USING DIFFERENT METHODS

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