Open AccessNew exotic solitary waves in one type of nonlinear dispersive equations
Author(s) -
Yin Jiu-Li,
Tian Li
Publication year - 2009
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.58.3632
Subject(s) - integrable system , transformation (genetics) , type (biology) , physics , nonlinear system , variable (mathematics) , dispersive partial differential equation , mathematical physics , mathematical analysis , mathematics , quantum mechanics , ecology , biochemistry , chemistry , biology , gene
New exotic solitary wave and the painlevé integrability of one type of the nonlinear dispersive generalized DGH equation are studied. By Painlevé analysis, we discover that the nonlinear dispersive generalized DGH equation with m2 is integrable, which is a new integrable equation. By the new variable transformation and the auto-Backlund transformationwe obtain abundant exotic solitary wave solutions, such as compactons, peakons, new double solitary waves with peak points, and double solitary waves with blow-up points.