1. Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients.
- Author
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Li, Qianqian, Shan, Wenrui, Wang, Panpan, and Cui, Haoguang
- Subjects
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PARTIAL differential equations , *NONLINEAR differential equations , *INHOMOGENEOUS materials , *SYMBOLIC computation - Abstract
In this paper, we mainly investigate a (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients in an inhomogeneous medium. Based on the Hirota bilinear form and symbolic computation, the breather wave solutions and lump solutions are constructed by using the extended homoclinic breather technique and the generalized positive quadratic function method. Also, Hirota bilinear method is applied to considered equation for finding N-soliton wave solutions. When the coefficients of the equation are different, the corresponding improved results are obtained for some special equations. Furthermore, by plotting the images of different types of solutions, their dynamic behaviors are analyzed. • In this paper, we mainly investigate a (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients in an inhomogeneous medium. • Based on the Hirota bilinear form and symbolic computation, the breather wave solutions and lump solutions are constructed by using the extended homoclinic breather technique and the generalized positive quadratic function method. • In Section 5, we add the N-soliton solution of the studied equation, and analyze the dynamic propagation behavior of one-soliton solution and two-soliton solution of the equation. • When the coefficients of the equation are different, the corresponding improved results are obtained for some special equations. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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