On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations. (English) Zbl 1304.37053
Summary: Based on the generalized dressing method, we propose two variable-coefficient coupled Hirota equations and derive their Lax pairs. The generalized dressing method is applied to study these variable-coefficient coupled Hirota equations, from which explicit solutions of the two equations and their reductions are constructed. {
©2009 American Institute of Physics}
©2009 American Institute of Physics}
MSC:
| 37K15 | Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
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