Pfaffian solution for dark–dark soliton to the coupled complex modified Korteweg–de Vries equation

Authors

Chenxi Li
Xiaochuan Liu
Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

11-2025

Abstract

In this paper, we study the coupled complex modified Korteweg–de Vries (ccmKdV) equation by combining the Hirota’s method and the Kadomtsev–Petviashvili (KP) reduction method. First, we show that the bilinear form of the ccmKdV equation under nonzero boundary condition is linked to the discrete BKP hierarchy through Miwa transformation. Based on this finding, we construct the dark–dark soliton solution in the pfaffian form. The dynamical behaviors for one- and two-soliton are analyzed and illustrated.

Comments

Original published version available at https://doi.org/10.1016/j.wavemoti.2025.103611

Recommended Citation

Li, Chenxi, Xiaochuan Liu, and Bao-Feng Feng. 2025. “Pfaffian Solution for Dark–Dark Soliton to the Coupled Complex Modified Korteweg–de Vries Equation.” Wave Motion 139 (November): 103611. https://doi.org/10.1016/j.wavemoti.2025.103611.  

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Wave Motion

DOI

10.1016/j.wavemoti.2025.103611