Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima–Oikawa system. (May 2020)

• Record Type: Journal Article
• Authors: Tian, Hong-juan; Zhang, Da-jun
• Is Part Of: Applied mathematics letters. Volume 103(2020)
• Publication Date: 2020-05
• Subjects: Cauchy matrix approach -- Self-consistent sources -- Yajima–Oikawa system -- Reduction; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106165
• Languages: English
• ISSNs: 0893-9659

Abstract

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.