New perceptions for the soliton solutions to the complex wave patterns model against its numerical solutions

PDEs in connection with optics and electromagnetic theory (35Q60) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Second-order parabolic systems (35K40) Traveling wave solutions (35C07) Soliton solutions (35C08) Pattern formations in context of PDEs (35B36)

Cites Work

New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients
Simple equation method for nonlinear partial differential equations and its applications
The first-integral method applied to the Eckhaus equation
Application of the variational iteration method to the regularized long wave equation
The variational iteration method for analytic treatment for linear and nonlinear ODEs
A Riccati-Bernoulli sub-ODE method for nonlinear partial differential equations and its application
Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation
New complex wave patterns to the electrical transmission line model arising in network system
Solitary wave solutions of hierarchy with non-local nonlinearity
Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations
Modified extended tanh-function method and its applications to the Bogoyavlenskii equation
Travelling waves and conservation laws of a \((2+1)\)-dimensional coupling system with Korteweg-de Vries equation
Small variations of the damping parameters and fractional derivatives on the dynamics of a mass interacting in a nonsinusoidal Remoissenet-Peyrard potential
New Optical Soliton Solutions of the Perturbed Fokas-Lenells Equation
Comparison Between the Exact Solutions of Three Distinct Shallow Water Equations Using the Painlevé Approach and Its Numerical Solutions
Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation
Painlevé approach and its applications to get new exact solutions of three biological models instead of its numerical solutions
New soliton solutions for a discrete electrical lattice using the Jacobi elliptical function method
Comparison between the new exact and numerical solutions of the Mikhailov-Novikov-Wang equation

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