Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation
Author(s) -
Da-Quan Xian
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/696074
Subject(s) - mathematics , korteweg–de vries equation , orbit (dynamics) , mathematical analysis , matrix (chemical analysis) , combinatorics , mathematical physics , physics , quantum mechanics , nonlinear system , engineering , aerospace engineering , materials science , composite material
We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equationdoes not exist. The Saddle-node heteroclinic orbit has been obtained. Using the Lie group method, weget two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spreadF-expansion method, and -expansion method, we obtain exact nontraveling wave solutions, for the(2+1)D KdV Burgers equation, and find out some new strange phenomenons of sympathetic vibration toevolution of nontraveling wave
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