Title | ||
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Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima-Oikawa system |
Abstract | ||
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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 |
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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 Tian | 1 | 0 | 0.34 |
Da-jun Zhang | 2 | 3 | 2.64 |