Title :
Symbolic computation and construction of exact travelling wave solutions to (2+1)-dimensional GMKPI equation
Author :
Yang, Xiaoxia ; Wang, Junmin
Author_Institution :
Sch. of Math. & Inf. Sci., Pingdingshan Univ., Pingdingshan, China
Abstract :
In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.
Keywords :
nonlinear equations; partial differential equations; solitons; symbol manipulation; (2+1)-dimensional nonlinear soliton equation; GMKPI equation; auxiliary equation method; exact travelling wave solutions; nonlinear evolution equations; symbolic computation; Computer networks; Differential equations; Electronic mail; Information science; Mathematics; Nonlinear equations; Partial differential equations; Physics; Riccati equations; Solitons; Numerical Methods; rational solution; soliton hierarchy; soliton-like solutions; trigonometric func- tion solutions;
Conference_Titel :
Networking and Digital Society (ICNDS), 2010 2nd International Conference on
Conference_Location :
Wenzhou
Print_ISBN :
978-1-4244-5162-3
DOI :
10.1109/ICNDS.2010.5479194
