Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation

Junda Peng, Bo Ren, Shoufeng Shen and Guofang Wang
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Junda Peng: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
Bo Ren: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
Shoufeng Shen: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
Guofang Wang: Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China

Mathematics, 2022, vol. 10, issue 9, 1-7

Abstract: The reverse space-time nonlocal complex modified Kortewewg–de Vries (mKdV) equation is investigated by using the consistent tanh expansion (CTE) method. According to the CTE method, a nonauto-Bäcklund transformation theorem of nonlocal complex mKdV is obtained. The interactions between one kink soliton and other different nonlinear excitations are constructed via the nonauto-Bäcklund transformation theorem. By selecting cnoidal periodic waves, the interaction between one kink soliton and the cnoidal periodic waves is derived. The specific Jacobi function-type solution and graphs of its analysis are provided in this paper.

Keywords: nonlocal modified Korteweg–de Vries equation; consistent tanh expansion method; parity-time symmetry (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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