Peaked soliton solutions and interaction between solitons for the extended (2+1)-dimensional shallow water wave equation | Zendy

Ma Song-Hua | Zendy; Jian-Ping Fang | Zendy

Open Access

Peaked soliton solutions and interaction between solitons for the extended (2+1)-dimensional shallow water wave equation

Author(s) -

Ma Song-Hua,

Jian-Ping Fang

Publication year - 2012

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.61.180505

Subject(s) - soliton , physics , periodic wave , variable (mathematics) , waves and shallow water , wave equation , riccati equation , excitation , separation (statistics) , mathematical analysis , quantum mechanics , nonlinear system , partial differential equation , mathematics , thermodynamics , statistics

By an improved Riccati mapping approach and a variable separation approach, a new family of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) of the extended (2+1)-dimensional shallow water wave (SWW) equation is derived. According to the derived solitary wave excitation, we obtain some special peaked soliton structures and study the interaction between solitons.

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