Periodic traveling wave, bright and dark soliton solutions of the (2+1)-dimensional complex modified Korteweg-de Vries system of equations by using three different methods
Shaikhova G. Kutum B. Myrzakulov R.
2022American Institute of Mathematical Sciences
AIMS Mathematics
2022#7Issue 1018948 - 18970 pp.
In this paper, the (2+1)-dimensional complex modified Korteweg-de Vries (cmKdV) equations are studied using the sine-cosine method, the tanh-coth method, and the Kudryashov method. As a result, analytical solutions in the form of dark solitons, bright solitons, and periodic wave solutions are obtained. Finally, the dynamic behavior of the solutions is illustrated by choosing the appropriate parameters using 2D and 3D plots. The obtained results show that the proposed methods are straightforward and powerful and can provide more forms of traveling wave solutions, which are expected to be useful for the study of the theory of traveling waves in physics.
bright soliton , dark soliton , Kudryashov method , periodic traveling wave , sine-cosine method , tanh-coth method
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Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Nur-Sultan, 010008, Kazakhstan
Department of Engineering Thermophysics, E.A. Buketov Karaganda State University, Karaganda, 100024, Kazakhstan
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics, Nur-Sultan, 010008, Kazakhstan
Department of General and Theoretical Physics
Department of Engineering Thermophysics
Ratbay Myrzakulov Eurasian International Center for Theoretical Physics
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