Nonlocal integrable equations from the mKP hierarchy

A class of non-local integrable equations is proposed as a new generalization of the constrained 1st modified KP hierarchy (i.e. Kupershmidt–Kiso version), which is called the generalized k -modified intermediate long wave ( gILW k for short) hierarchy. Then the bilinear formulations for the gMILW k...

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Bibliographic Details
Published inAnalysis and mathematical physics Vol. 12; no. 6
Main Authors Rui, Wenjuan, Cheng, Jipeng
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2022
Springer Nature B.V
Subjects
Analysis
Fermions
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Solitary waves
Tau function
Boson–Fermion correspondence
Generalized modified
hierarchy
35Q53
37K40
Bilinear formulation
37K10
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Summary:A class of non-local integrable equations is proposed as a new generalization of the constrained 1st modified KP hierarchy (i.e. Kupershmidt–Kiso version), which is called the generalized k -modified intermediate long wave ( gILW k for short) hierarchy. Then the bilinear formulations for the gMILW k hierarchy are constucted. Based on the bilinear formulations, rational and soliton solutions are obtained by using the boson-fermion correspondence.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-022-00750-1