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Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial
Jiaxin Shang1, Wenhe Li1, Da Li1
1School of Mathematics and Statistics, Northeast Petroleum University, 99 Xingzhi Street, Daqing, 163318, Heilongjiang Province, China.
Abstract:
The coupled Schrödinger-Korteweg-de Vries equation is a critical system of in nonlinear evolution equations. It describes various processes in dusty plasma, such as Langmuir waves, dust-acoustic waves, and electromagnetic waves. This paper uses the generalized coupled trial equation method to solve the equation. By the complete discrimination system for polynomial, a series of exact traveling wave solutions are obtained, including discontinuous periodic solutions, solitary wave solutions, and Jacobian elliptical function solutions. In addition, to determine the existence of the solutions and understand their properties, we draw three-dimensional images of the modules of the solutions with Mathematica. We obtain more comprehensive and accurate solutions than previous studies, and the results give the system more profound physical significance.
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