Extended KdV equations generated by squared eigenfunction symmetry

Two types of extended KdV equations generated by squared eigenfunction symmetries are derived with Cauchy matrix approach opening up different ideas that may be of considerable interest of understanding for the integrable system’s homology. The unified-form solution is discussed through choosing dif...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 128; p. 107852
Main Authors Tian, Hong-juan, Feng, Xue-jing, Liu, Wu-ming
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2022
Subjects
Cauchy matrix approach
KdV system
Self-consistent sources
Unified-form solution
Unified-form solution
Cauchy matrix approach
KdV system
Self-consistent sources
Online AccessGet full text

Cover

More Information
Summary:Two types of extended KdV equations generated by squared eigenfunction symmetries are derived with Cauchy matrix approach opening up different ideas that may be of considerable interest of understanding for the integrable system’s homology. The unified-form solution is discussed through choosing different matrices of determining equation set. Furthermore, under a safe range of parameters and the integrability conditions, it is possible to construct the soliton solution into the unified form, which can also verify that Cauchy matrix approach is an effective mathematical tool for investigating the integrable system.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107852