1 citations · 1 across the 2 of their papers we have counts for
9 papers
Solving the Korteweg-de Vries Equation by Its Bilinear Form: Wronskian Solutions
Wen-Xiu Ma, Yuncheng You
A broad set of sufficient conditions consisting of systems of linear partial differential equations is presented which guarantees that the Wronskian determinant solves the Korteweg…
Complexiton solutions to integrable equations
Wen-Xiu Ma
Complexiton solutions (or complexitons for short) are exact solutions newly introduced to integrable equations. Starting with the solution classification for a linear differential…
Backlund Transformations of Soliton Systems from Symmetry Constraints
Wen-Xiu Ma, Xianguo Geng
Binary symmetry constraints are applied to constructing Bäcklund transformations of soliton systems, both continuous and discrete. Construction of solutions to soliton systems is s…
Binary Bargmann Symmetry Constraints of Soliton Equations
Wen-Xiu Ma
Binary Bargmann symmetry constraints are applied to decompose soliton equations into finite-dimensional Liouville integrable Hamiltonian systems, generated from so-called constrain…
Binary Constrained Flows and Separation of Variables for Soliton Equations
Wen-Xiu Ma, Yunbo Zeng
In contrast to mono-constrained flows with N degrees of freedom, binary constrained flows of soliton equations, admitting 2x2 Lax matrices, have 2N degrees of freedom. By means of…
Integrable Couplings of Soliton Equations by Perturbations I. A General Theory and Application to the KdV Hierarchy
Wen-Xiu Ma
A theory for constructing integrable couplings of soliton equations is developed by using various perturbations around solutions of perturbed soliton equations being analytic with…