Chinese Physics B, Volume. 29, Issue 10, (2020)
Bifurcation analysis and exact traveling wave solutions for (2+1)-dimensional generalized modified dispersive water wave equation
We investigate (2+1)-dimensional generalized modified dispersive water wave (GMDWW) equation by utilizing the bifurcation theory of dynamical systems. We give the phase portraits and bifurcation analysis of the plane system corresponding to the GMDWW equation. By using the special orbits in the phase portraits, we analyze the existence of the traveling wave solutions. When some parameter takes special values, we obtain abundant exact kink wave solutions, singular wave solutions, periodic wave solutions, periodic singular wave solutions, and solitary wave solutions for the GMDWW equation.
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Ming Song, Beidan Wang, Jun Cao. Bifurcation analysis and exact traveling wave solutions for (2+1)-dimensional generalized modified dispersive water wave equation[J]. Chinese Physics B, 2020, 29(10):
Received: Apr. 28, 2020
Accepted: --
Published Online: Apr. 21, 2021
The Author Email: Song Ming (songming12_15@163.com)