Journal
MODERN PHYSICS LETTERS B
Volume 32, Issue 31, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984918503876
Keywords
Lump solutions; interaction solutions; Hirota bilinear form; (2+1)-dimensional extended shallow water wave equation
Funding
- Applied Basic Research Foundation of Yunnan Province [2017FD159]
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In this paper, the exact solutions to the (2 + 1)-dimensional extended shallow water wave (SWW) equation are investigated by using its bilinear form and ansatz techniques. Following the method given by Ma [Phys. Lett. A 379 (2015) 1975-1978], two classes of lump solutions are constructed by searching for positive quadratic function solutions to the associated bilinear equation. Furthermore, two kinds of interaction solutions between a lump and solitary waves are presented by taking the solution of the associated bilinear equation as a linear combination function of a quadratic function and the double exponential function, one of which is the interaction solution between a lump and an exponentially decayed soliton, and the other one is the interaction solution between a lump and an exponentially decayed twin soliton. Finally, some figures are given to illustrate the dynamic properties of these obtained solutions.
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