Open AccessPeaked soliton solutions and interaction between solitons for the extended (2+1)-dimensional shallow water wave equation
Author(s) -
Song-Ya Ma,
Jian-Ping Fang
Publication year - 2012
Publication title -
wuli xuebao
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.