摘要
In this paper, the complex short pulse equation and the coupled complex short pulse equations that can describe the ultra-short pulse propagation in optical fibers are investigated. The two complex nonlinear models are turned into multi-component real models by proper transformations. Lie symmetries are obtained via the classical Lie group method, and the results for the coupled complex short pulse equations contain the existing results as particular cases.Based on the linearizing operator and adjoint linearizing operator for the two real systems,adjoint symmetries can be obtained. Explicit conservation laws are constructed using the symmetry/adjoint symmetry pair(SA) method. Relationships between the nonlinear selfadjointness method and the SA method are investigated.
基金
funded by the National Natural Science Foundation of China(No.12105073)
Science and Technology Program of Colleges and Universities in Hebei Province(No.QN2020144)
Science and Technology Plan Project(Special Program for Soft Science)in Hebei Province(No.20556201D)
Scientific Research and Development Program Fund Project of Hebei University of Economics and Business(Nos.2020YB15,2020YB12 and 2021ZD07)
Youth Team Support Program of Hebei University of Economics and Business。
