Open AccessInfinite sequence new exact solutions of K(m,n) equation and B(m,n) equation
Author(s) -
白玉梅,
套格图桑,
韩元春
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.61.200205
Subject(s) - soliton , transformation (genetics) , sequence (biology) , superposition principle , physics , exact solutions in general relativity , nonlinear system , mathematical analysis , mathematical physics , mathematics , quantum mechanics , biochemistry , chemistry , genetics , biology , gene
New solutions of several kinds of auxiliary equations, Bcklund transformation and nonlinear superposition formula of the solutions are presented by studying a highly auxiliary equation method. Based on this and different m and n, the method of combining transformation and direct integration is used to obtain infinite sequence new exact solutions of K(m,n) equation and B(m,n) equation, which include infinite sequence smooth soliton solutions, peak soliton solutions and compact soliton solutions.