Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation

On the Exact Solutions of the Intermediate Long-wave Equation

Some traveling wave solutions of soliton family

Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-deVries (KdV), Modied Korteweg-de Vries (mKdV) and Regularised LongWave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion...

Positivity Properties and Uniqueness of Solitary Wave Solutions of the Intermediate Long-Wave Equation

Soliton Perturbation Theory for the Splitted Regularized Long Wave Equation

Department of Physics and Pre-Engineering Delaware State University, Dover, DE 19901-2277, USA Abstract The soliton perturbation theory is used to obtain adiabatic parameter dynamics of solitons due to the splitted regularized long wave equation in presence of perturbation terms. The adiabatic change of soliton velocity is also obtained in this paper. Mathematics Subject Classification: 35Q51, ...

Elliptic Function Solutions of (2+1)-Dimensional Breaking Soliton Equation by Sinh-Cosh Method and Sinh-Gordon Expansion Method

In this paper, based on sinh-cosh method and sinh-Gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.These solutions include Jacobi elliptic function solution, soliton solution,trigonometric function solution.