Lump solutions to dimensionally reduced \[\varvec{p}\] -gKP and \[\varvec{p}\] -gBKP equations

Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and...

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Bibliographic Details
Published in:Nonlinear dynamics 2016-04, Vol.84 (2), p.923-931
Main Authors: Wen Xiu Ma, Qin, Zhenyun, Lü, Xing
Format: Article
Language:English
Subjects:
Computation
Energy distribution
Invariance
Localization
Mathematical analysis
Mathematical models
Parameters
Three dimensional
Translations
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Summary:Based on generalized bilinear forms, lump solutions, rationally localized in all directions in the space, to dimensionally reduced p-gKP and p-gBKP equations in (2+1)-dimensions are computed through symbolic computation with Maple. The sufficient and necessary conditions to guarantee analyticity and rational localization of the solutions are presented. The resulting lump solutions contain six parameters, two of which are totally free, due to the translation invariance, and the other four of which only need to satisfy the presented sufficient and necessary conditions. Their three-dimensional plots with particular choices of the involved parameters are made to show energy distribution.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2539-6