Lump solutions to a (2+1)-dimensional extended KP equation

Lump solutions to a (2+1)-dimensional extended KP equation

With the aid of a computer algebra system, we present lump solutions to a (2+1)-dimensional extended Kadomtsev–Petviashvili equation (eKP) and give the sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions. We plot a few solutions for some specific v...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2018-04, Vol.75 (7), p.2414-2419
Hauptverfasser: Manukure, Solomon, Zhou, Yuan, Ma, Wen-Xiu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Computer algebra
Extended KP equation
Hirota bilinear form
Lump solutions
Nonlinear equations
Schrodinger equation
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container_title Computers & mathematics with applications (1987)
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creator Manukure, Solomon
Zhou, Yuan
Ma, Wen-Xiu
description With the aid of a computer algebra system, we present lump solutions to a (2+1)-dimensional extended Kadomtsev–Petviashvili equation (eKP) and give the sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions. We plot a few solutions for some specific values of the free parameters involved and finally derive one of the lump solutions of the Kadomtsev–Petviashvili (KP) equations from the lump solutions of the eKP equation.
doi_str_mv 10.1016/j.camwa.2017.12.030
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source Elsevier ScienceDirect Journals Complete; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects Algebra
Computer algebra
Extended KP equation
Hirota bilinear form
Lump solutions
Nonlinear equations
Schrodinger equation
title Lump solutions to a (2+1)-dimensional extended KP equation
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