Premium
A generalization of the coupled integrable dispersionless equations
Author(s) -
Lou SenYue,
Yu GuoFu
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3844
Subject(s) - integrable system , mathematics , dispersionless equation , soliton , mathematical physics , sine gordon equation , toda lattice , generalization , breather , one dimensional space , compactification (mathematics) , mathematical analysis , field (mathematics) , kadomtsev–petviashvili equation , partial differential equation , pure mathematics , physics , nonlinear system , quantum mechanics , characteristic equation
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.