Open AccessLump solutions to the (2+1)-dimensional shallow water wave equation
Author(s) -
Hongcai Ma,
Ke Ni,
Aiping Deng
Publication year - 2017
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci160816066m
Subject(s) - maple , waves and shallow water , computation , symbolic computation , mathematics , class (philosophy) , translation (biology) , mathematical analysis , rational function , zero (linguistics) , physics , computer science , thermodynamics , chemistry , algorithm , biochemistry , botany , linguistics , philosophy , artificial intelligence , messenger rna , gene , biology
Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bi-linear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions
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