Abstract
In this paper, using the methods of ansatz, sine-cosine and He’s semi-inverse variation, non-topological 1-soliton solution to Resonant Nonlinear Schrodinger Equation with Kerr law nonlinearity is obtained. The results show that these methods are very effective ones for finding exact solutions to various types of nonlinear evolution equations appearing in the studies of science and engineering.
Highlights
IntroductionThe Resonant Nonlinear Schrodinger Equation [1, 2] is encountered in the studies of Nonlinear Fiber Optics, Fluid Physics and Plasma Physics
The results show that these methods are very effective ones for finding exact solutions to various types of nonlinear evolution equations appearing in the studies of science and engineering
The Resonant Nonlinear Schrodinger Equation [1, 2] is encountered in the studies of Nonlinear Fiber Optics, Fluid Physics and Plasma Physics
Summary
The Resonant Nonlinear Schrodinger Equation [1, 2] is encountered in the studies of Nonlinear Fiber Optics, Fluid Physics and Plasma Physics. The dimensionless form of this equation is often written in the form where k represents the frequency, ω represents the propagation number and v represents the propagation speed of the soliton. Where the first term represents the temporal evolution term, the second term represents the Group Velocity Dispersion (GVD) term, the third term represents the nonlinearity term and the fourth term represents the resonant nonlinearity term. I = √(− 1) is the imaginary number, α is the coefficient of GVD, β is the coefficient of nonlinearity, γ is the coefficient of resonant nonlinearity and F(s) is a function defining the type of nonlinearity. Non-topological 1-soliton solution to equation Imaginary part:.
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