Positon and hybrid solutions for the (2+1)-dimensional complex modified Korteweg-de Vries equations
Feng Yuan(袁丰)1,† and Behzad Ghanbari2
1 College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China; 2 Department of Basic Science, Kermanshah University of Technology, Kermanshah, Iran
Abstract Solving nonlinear partial differential equations have attracted intensive attention in the past few decades. In this paper, the Darboux transformation method is used to derive several positon and hybrid solutions for the (2+1)-dimensional complex modified Korteweg-de Vries equations. Based on the zero seed solution, the positon solution and the hybrid solutions of positon and soliton are constructed. The composition of positons is studied, showing that multi-positons of (2+1)-dimensional equations are decomposed into multi-solitons as well as the (1+1)-dimensions. Moreover, the interactions between positon and soliton are analyzed. In addition, the hybrid solutions of b-positon and breather are obtained using the plane wave seed solution, and their evolutions with time are discussed.
Fund: Project sponsored by NUPTSF (Grant Nos. NY220161 and NY222169), the Foundation of Jiangsu Provincial Double-Innovation Doctor Program (Grant No. JSSCBS20210541), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 22KJB110004), and the National Natural Science Foundation of China (Grant No. 11871446).
Feng Yuan(袁丰) and Behzad Ghanbari Positon and hybrid solutions for the (2+1)-dimensional complex modified Korteweg-de Vries equations 2023 Chin. Phys. B 32 040201
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