A generalization of the coupled integrable dispersionless equations |
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| Authors: | Sen‐Yue Lou Guo‐Fu Yu |
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| Affiliation: | 1. Faculty of Science, Ningbo University, Ningbo, China;2. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China;3. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China |
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| Abstract: | 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. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | coupled integrable dispersionless equations casorati determinant soliton |
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