The long-time asymptotics of the focusing Kundu–Eckhaus equation with nonzero boundary
conditions at infinity is investigated by the nonlinear steepest descent method of Deift and …

Purpose: In this paper, optical solitons of higher-order nonlinear Schrödinger equation with
Kudryashov's sextic power-law of nonlinear refractive index are investigated via the direct …

In this paper, the N-soliton solution is constructed for the (2+ 1)-dimensional generalized
Hirota–Satsuma–Ito equation, from which some localized waves such as line solitons …

We present an application of the nonlinear steepest descent method to a three-component
coupled mKdV system associated with a 4× 4 matrix spectral problem. An integrable …

Under investigation in this letter is an extended (3+ 1)-dimensional Jimbo–Miwa (eJM)
equation, which can be used to describe many nonlinear phenomena in mathematical …

The consistent Riccati expansion (CRE) is used to the Drinfel'd–Sokolov–Wilson (DSW)
equation. It demonstrates that the DSW equation is the CRE solvability system. The bilinear …

In this work, we investigate the (2+ 1)-dimensional B-type Kadomtsev–Petviashvili (BKP)
equation, which can be used to describe weakly dispersive waves propagating in the quasi …

The boundary value problem for the focusing Kundu–Eckhaus equation with nonzero
boundary conditions is studied by the Dbar dressing method in this work. A Dbar problem …

In this paper, a new (3+ 1)-dimensional Hirota bilinear equation in fluids is investigated. The
interaction solutions of lump and N-soliton (N> 1 N> 1) are obtained. When N= 2, 3, 4 N= 2 …

Abstract In this paper, a (3+ 1)-dimensional generalized Kadomtsev–Petviashvili (gKP)
equation is investigated, which describes the dynamics of nonlinear waves in plasma …