Smoothness property of traveling wave solutions in a modified Kadomtsev--Petviashvili equation
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Authors
Lina Zhang
- Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, P. R. China.
Feng Li
- Department of Mathematics, Linyi University, Linyi, Shandong 276005, P. R. China.
Xianglin Han
- Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, P. R. China.
Abstract
In this paper, dynamical systems theory is applied to investigate the smooth property of traveling wave
solutions for a modified Kadomtsev{Petviashvili equation. The results of our study demonstrate that an
abundant of smooth traveling waves arise when their corresponding orbits have intersection points with the
singular straight line. In some conditions, exact parametric representations of these smooth waves in explicit
or implicit forms are obtained.
Share and Cite
ISRP Style
Lina Zhang, Feng Li, Xianglin Han, Smoothness property of traveling wave solutions in a modified Kadomtsev--Petviashvili equation, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2208--2216
AMA Style
Zhang Lina, Li Feng, Han Xianglin, Smoothness property of traveling wave solutions in a modified Kadomtsev--Petviashvili equation. J. Nonlinear Sci. Appl. (2016); 9(5):2208--2216
Chicago/Turabian Style
Zhang, Lina, Li, Feng, Han, Xianglin. "Smoothness property of traveling wave solutions in a modified Kadomtsev--Petviashvili equation." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2208--2216
Keywords
- Bifurcation method
- smooth wave solution
- singular traveling wave system
- mKP equation.
MSC
References
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