Open AccessSOME NEW MULTIPLE SOLITON SOLUTIONS OF HIGH-DIMENSIONAL NONLINEAR WAVE EQUATIONS
Author(s) -
Lou Sen-Yue,
Guoxiang Huang,
Guangjiong Ni
Publication year - 1990
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.39.1363
Subject(s) - soliton , physics , dissipative soliton , nonlinear system , integer (computer science) , base (topology) , mathematical physics , mathematical analysis , mathematics , quantum mechanics , computer science , programming language
By using the base equations technique and the transtormation relations to get new solutions of the base equations, we obtain some new multiple soliton solutions of n+1 dimensional nonlinear wave equations. Gibbon et al. pointed out that the number of the soliton in the multiple soliton solutions is constrainted by N≤2n+1. However, our result shows that their conclusion is not ture, the number of the soliton N may be an arbitrary positive integer.