Conservation laws and optical soliton cooling with cubic-quintic-septic-nonic nonlinear refractive index. (English) Zbl 1538.35111
Summary: This paper presents the conservation laws for optical solitons with cubic-quantic-septic-nonic nonlinearity. Thereafter, the adiabatic dynamics of the conserved quantities are obtained by the usage of soliton perturbation theory. The phenomena of optical soliton cooling are finally revealed.
MSC:
| 35C08 | Soliton solutions |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 78A40 | Waves and radiation in optics and electromagnetic theory |
| 35B20 | Perturbations in context of PDEs |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 35Q41 | Time-dependent Schrödinger equations and Dirac equations |
| 35Q51 | Soliton equations |
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