Search Results - "Ma, Wen"

Lump solutions to the Kadomtsev–Petviashvili equation by Ma, Wen-Xiu

“…Through symbolic computation with Maple, a class of lump solutions, rationally localized in all directions in the space, to the (2+1)-dimensional…”
Get full text

N-soliton solutions and the Hirota conditions in (2+1)-dimensions by Ma, Wen-Xiu

“…We compute N -soliton solutions and analyze the Hirota N -soliton conditions, in (2+1)-dimensions, based on the Hirota bilinear formulation. An algorithm to…”
Get full text

Riemann–Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies by Ma, Wen-Xiu

“…We would like to propose a kind of nonlocal real reverse-spacetime integrable hierarchies of PT-symmetric matrix AKNS equations through nonlocal symmetry…”
Get full text

Riemann–Hilbert problems and N-soliton solutions for a coupled mKdV system by Ma, Wen-Xiu

“…A 3 × 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy with four components is generated. From this spectral problem, a…”
Get full text

N-soliton solution of a combined pKP–BKP equation by Ma, Wen-Xiu

“…We consider a linear combination of the potential KP equation and the BKP equation, and call it a combined pKP–BKP equation. We prove that the combined pKP–BKP…”
Get full text

Binary Darboux transformation of vector nonlocal reverse-time integrable NLS equations by Ma, Wen-Xiu

“…The aim of this paper is to study vector nonlocal reverse-time NLS (nonlinear Schrödinger) equations and present a binary Darboux transformation by utilizing…”
Get full text

Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs by Ma, Wen-Xiu

“…The paper aims to explore the existence of diverse lump and interaction solutions to linear partial differential equations in (3+1)-dimensions. The remarkable…”
Get full text

Application of the Riemann–Hilbert approach to the multicomponent AKNS integrable hierarchies by Ma, Wen-Xiu

“…A class of Riemann–Hilbert problems on the real axis is formulated for solving the multicomponent AKNS integrable hierarchies associated with a kind of bock…”
Get full text

AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials by Ma, Wen-Xiu

“…The aim of this paper is to derive a kind of integrable hierarchies with four potentials, which possess bi-Hamiltonian structures, from reduced AKNS matrix…”
Get full text

Lump and lump-soliton solutions to the Hirota–Satsuma–Ito equation by Zhou, Yuan, Manukure, Solomon, Ma, Wen-Xiu

“…We apply the Hirota direct method to construct lump and interaction solutions to the Hirota–Satsuma–Ito (HSI) equation. We establish a general theory for…”
Get full text

Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations by Ma, Wen-Xiu

“…We would like to analyze a kind of nonlocal reverse-spacetime integrable PT-symmetric multicomponent modified Korteweg-de Vires (mKdV) equations by making a…”
Get full text

Four-component integrable hierarchies of Hamiltonian equations with ()th-order Lax pairs by Ma, Wen-Xiu

“…A class of higher-order matrix spectral problems is formulated and the associated integrable hierarchies are generated via the zero-curvature formulation. The…”
Get full text

Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation by Lü, Xing, Ma, Wen-Xiu

“…With symbolic computation, two classes of lump solutions to the dimensionally reduced equations in (2+1)-dimensions are derived, respectively, by searching for…”
Get full text

Type (λ⁎,λ) reduced nonlocal integrable AKNS equations and their soliton solutions by Ma, Wen-Xiu

“…We construct a class of novel reduced nonlocal reverse-spacetime integrable AKNS equations by taking two group reductions of the AKNS matrix spectral problems…”
Get full text

Integrable nonlocal nonlinear Schrödinger hierarchies of type (-λ,λ) and soliton solutions by Ma, Wen-Xiu

“…Two simultaneous nonlocal group constraints of the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems are discussed, of which one constraint changes the…”
Get full text

Four-component integrable hierarchies and their Hamiltonian structures by Ma, Wen-Xiu

Get full text

Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation by Yin, Yu-Hang, Lü, Xing, Ma, Wen-Xiu

“…Under investigation in this paper is a (3+1)-dimensional nonlinear evolution equation, which was proposed and analyzed to study features and properties of…”
Get full text

A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations by Ma, Wen-Xiu

“…Upon introducing a specific 4 × 4 matrix eigenvalue problem with four components, we would like to construct a Liouville integrable Hamiltonian hierarchy,…”
Get full text

A multi-component integrable hierarchy and its integrable reductions by Ma, Wen-Xiu

“…We present a multi-component integrable hierarchy via the zero curvature formulation. The trace identity is applied to construction of its Hamiltonian…”
Get full text

Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation by Chen, Si-Jia, Ma, Wen-Xiu, Lü, Xing

“…•A (3+1)-dimensional Hirota-Satsuma-Ito-like equation is proposed, which can describe the wave motion in fluid dynamics and shallow water.•Bäcklund…”
Get full text