An analytical solution to the dissipative nonlinear Schrödinger equation

摘要

Motivated with a solitary wave type of solution to the nonlinear Schrödinger (NLS) equation, in this work we shall seek a travelling wave solution to the dissipative NLS equation by use of the hyperbolic tangent method. It is observed that the dissipative NLS equation still assumes a solitary wave type of solution with decaying amplitude in the time parameter.