摘要
The Burgers equation is one of the most important prototypic models in nonlinear physics.Various exact solutions of the Burgers equation have been found by many methods.However,it is very difficult to find interactive solutions among different types of nonlinear excitations.We develop a generalized tanh function expansion approach,which can be considered as the Bäcklund transformation,to find interactive solutions between the soliton and other types of Burgers waves.
作者
JIN Yan
JIA Man
LOU Sen-Yue
金艳;贾曼;楼森岳(Ningbo Institute of Education,Ningbo 315010;Faculty of Science,Ningbo University,Ningbo 315211;Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai 200062)
基金
Supported by the National Natural Science Foundation of China under Grant Nos 11175092,11275123 and 11205092
the Scientific Research Fund of Zhejiang Provincial Education I Department under Grant No Y201017148
the K.C.Wong Magna Fund in Ningbo University.