Soliton equations exhibiting Pfaffian solutions

Topological soliton solutions of the some nonlinear partial differential equations

In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...

Multicomponent integrable wave equations II. Soliton solutions

The Darboux–Dressing Transformations developed in [1] are here applied to construct soliton solutions for a class of boomeronic–type equations. The vacuum (i.e. vanishing) solution and the generic plane wave solution are both dressed to yield one soliton solutions. The formulae are specialised to the particularly interesting case of the resonant interaction of three waves, a well-known model wh...

Soliton Solutions for Quasilinear Schrödinger Equations, I

For a class of quasilinear Schrödinger equations we establish the existence of ground states of soliton type solutions by a minimization argument.

Soliton Solutions for Quasilinear Schrödinger Equations

Exact Pfaffian and N - Soliton Solutions to a ( 3 + 1 ) - Dimensional Generalized Integrable Nonlinear Partial Differential Equations

The objective of this paper is to use the Pfaffian technique to construct different classes of exact Pfaffian solutions and N -soliton solutions to some of the generalized integrable nonlinear partial differential equations in (3+1) dimensions. In this paper, I will show that the Pfaffian solutions to the nonlinear PDEs are nothing but Pfaffian identities. Solitons are among the most beneficial...