A generalization of the coupled integrable dispersionless equations

作者：Lou, Sen-Yue; Yu, Guo-Fu^*

来源：Mathematical Methods in the Applied Sciences, 2016, 39(14): 4025-4034.

DOI：10.1002/mma.3844

• coupled integrable dispersionless equations
• casorati determinant
• soliton

The paper investigates an extension of the coupled integrable dispersionless equations, which describe the current-fed string within an external magnetic field. By using the relation among the coupled integrable dispersionless equations, the sine-Gordon equation and the two-dimensional Toda lattice equation, we propose a generalized coupled integrable dispersionless system. N-soliton solutions to the generalized system are presented in the Casorati determinant form with arbitrary parameters. By choosing real or complex parameters in the Casorati determinant, the properties of one-soliton and two-soliton solutions are investigated. It is shown that we can obtain solutions in soliton profile and breather profile.

• 出版日期2016-9-30
• 单位上海交通大学; 华东师范大学; 宁波大学