Title
Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima-Oikawa system
Abstract
A new approach by means of the Cauchy matrix is developed to obtain integrable equations with self-consistent sources. We derive a lower order Kadomtsev–Petviashvili equation with self-consistent sources which is then reduced to the multi-component Yajima–Oikawa system. This approach allows explicit multiple-pole solutions. New solutions of the Yajima–Oikawa system are obtained, of which there is more freedom in dispersion relations and amplitudes.
Year
DOI
Venue
2020
10.1016/j.aml.2019.106165
Applied Mathematics Letters
Keywords
Field
DocType
Cauchy matrix approach,Self-consistent sources,Yajima–Oikawa system,Reduction
Integrable system,Dispersion relation,Mathematical analysis,Self consistent,Amplitude,Mathematics,Cauchy matrix
Journal
Volume
ISSN
Citations 
103
0893-9659
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Hong-juan Tian100.34
Da-jun Zhang232.64