THERMAL SCIENCE

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Hong-Cai Ma

,

Ke Ni

,

Aiping Deng

LUMP SOLUTIONS TO THE (2+1)-DIMENSIONAL SHALLOW WATER WAVE EQUATION

ABSTRACT
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.
KEYWORDS
Lump solution, Hirota bilinear, shallow water wave equation
PAPER SUBMITTED: 2016-08-16
PAPER REVISED: 2016-08-29
PAPER ACCEPTED: 2016-09-18
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160816066M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1765 - 1769]
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Lump solutions to the (2+1)-dimensional shallow water wave equation

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