Title :
Symmetry reduced and exact non-traveling wave solutions of the (2+1)-D GSWW equation
Author :
Xiao, Guangcan ; Zheng, Chuang ; Xian, Daquan
Author_Institution :
Sch. of Sci., Southwest Univ. of Sci. & Technol., Mianyang, China
Abstract :
In this paper, the (2+1)-dimensional generalized shallow water wave equation (GSWW) is reduced to a (1+1)-dimensional PDE with constant coefficients by means of the group method. Moreover, we determine some new exact non-traveling solutions with arbitrary function of the GSWW equation by means of the homoclinic test technique, Hirota method and auxiliary equation method, etc.
Keywords :
Lie groups; shallow water equations; symbol manipulation; (1+1)-dimensional PDE; (2+l)-D GSWW equation; (2+l)-dimensional generalized shallow water wave equation; Hirota method; auxiliary equation method; group method; homoclinic test technique; nontraveling wave solution; Differential equations; Educational institutions; Equations; Jacobian matrices; Mathematical model; Propagation;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765138
