Bilinearization and Soliton Solutions for Certain Symmetric Nonlocal Extended Complex Modified Korteweg-de Vries Equations

• Hao-Dong Liu ^[1] ; Bo Tian ^[1] ; Xiao-Tian Gao ^[1] ; Hong-Wen Shan ^[1]
  1. [1] Beijing University of Posts and Telecommunications

     Beijing University of Posts and Telecommunications

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 4, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we begin the work by constructing a coupled extended complex modified Korteweg-de Vries (ecmKdV) system via the Ablowitz-Kaup-Newell-Segur hierarchy. Under certain symmetry reductions, some space, time and space-time symmetric nonlocal ecmKdV equations are derived from that system. By virtue of the Hirota method, some bilinear forms, bilinear Bäcklund transformations and soliton solutions of that system are obtained. We derive some nonlocal one- and two-soliton solutions for three types of the symmetric nonlocal ecmKdV equations through certain reduction formulae. In addition, several graphical illustrations of those nonlocal solitons are displayed.

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