Year: 2023
Type: article
Abstract: Based on a soliton hierarchy associated with so ( 3 , R ) , we construct two integrable nonlocal PT-symmetric generalized mKdV equations. The key step is to formulate two nonlocal reverse-spacetime similarity transformations for the involved spectral matrix, and therefore, integrable nonlocal complex and real reverse-spacetime generalized so ( 3 , R ) -mKdV equations of fifth-order are presented. The resulting reduced nonlocal integrable equations inherit infinitely many commuting symmetries and conservation laws.
Authors: Shou-Ting Chen, Wen-Xiu Ma
Institutions: Xuzhou University of Technology, University of South Florida
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4387058239