Two-wave interaction solutions of perturbation and CKdVE integrability for (2+1)-D CDGKS equation-Reference-Cited by-同舟云学术

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Two-wave interaction solutions of perturbation and CKdVE integrability for (2+1)-D CDGKS equation

Published:2024-05-09 Issue: Volume: Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Kang Xiaorong¹^ORCID,Xian Daquan¹^ORCID,Xian Lizhu²^ORCID,Zheng Kelong³^ORCID

Affiliation:

1. School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang, Sichuan 621010, P. R. China

2. Sino-British Collaborative Education, Chengdu University of Technology, Chengdu, Sichuan 610059, P. R. China

3. School of Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, P. R. China

Abstract

By the Hirota bilinear method, some new interaction solutions with the complex perturbation for CDGKS equation are obtained. Meanwhile, with the help of the classical nonlinear KdV equation, many new exact solutions of CDGKS equation are derived through the CKdVE method, since it satisfies the CKdVE solvability. Two typical examples also show the local geometric characteristics of the parameter perturbation of these exact solutions.

Funder

Teaching Reformation Project of Southwest University of Science and Technology

Central Universities of Civil Aviation Flight University of China

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988782440022X

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