Dispersive traveling wave solutions of nonlinear optical wave dynamical models
Abstract
In this work, we apply the extended simple equation method to study the dispersive traveling wave solutions of (2+1)-dimensional Nizhnik-Novikov-Vesselov (NNV), Caudrey-Dodd-Gibbon (CDG) and Jaulent-Miodek (JM) hierarchy nonlinear equations. A set of exact, periodic and soliton solutions is obtained for these models confirming the effectiveness of the proposed method. The models studied are important for a number of application areas especially in the field of mathematical physics. Interesting figures are used to illustrate the physical properties of some obtained results. A comparison between obtained solutions and established results in the literature is also given.
- Publication:
-
Modern Physics Letters B
- Pub Date:
- April 2019
- DOI:
- 10.1142/S0217984919501203
- Bibcode:
- 2019MPLB...3350120A
- Keywords:
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- (2+1)-dimensional nonlinear Nizhnik–Novikov–Vesselov system;
- Caudrey–Dodd–Gibbon equation;
- Jaulent–Miodek hierarchy equation;
- extended simple equation method;
- traveling wave solutions