Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations
SJ Chen, YH Yin, X Lü - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
A new test function is proposed to construct the elastic one-lump-multi-stripe solutions to the
(2+ 1)-dimensional nonlinear evolution equations via Hirota bilinear forms. The necessary …
(2+ 1)-dimensional nonlinear evolution equations via Hirota bilinear forms. The necessary …
M-lump solution, soliton solution and rational solution to a (3+ 1)-dimensional nonlinear model
XJ He, X Lü - Mathematics and Computers in Simulation, 2022 - Elsevier
In the previous study, the one-lump solution is given to the dimensionally reduced forms of a
(3+ 1)-dimensional nonlinear model via the positive quadratic function method. The main …
(3+ 1)-dimensional nonlinear model via the positive quadratic function method. The main …
Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
A broad set of sufficient conditions consisting of systems of linear partial differential
equations is presented which guarantees that the Wronskian determinant solves the …
equations is presented which guarantees that the Wronskian determinant solves the …
[BOOK][B] Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics
VA Galaktionov, SR Svirshchevskii - 2006 - taylorfrancis.com
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in
Mechanics and Physics is the first book to provide a systematic construction of exact …
Mechanics and Physics is the first book to provide a systematic construction of exact …
Complexiton solutions to the Korteweg–de Vries equation
WX Ma - Physics Letters A, 2002 - Elsevier
A novel class of explicit exact solutions to the Korteweg–de Vries equation is presented
through its bilinear form. Such solutions possess singularities of combinations of …
through its bilinear form. Such solutions possess singularities of combinations of …
A second Wronskian formulation of the Boussinesq equation
A Wronskian formulation leading to rational solutions is presented for the Boussinesq
equation. It involves third-order linear partial differential equations, whose representative …
equation. It involves third-order linear partial differential equations, whose representative …
Dynamic of the smooth positons of the higher-order Chen–Lee–Liu equation
Based on the degenerate Darboux transformation, the n-positon solution of the higher-order
Chen–Lee–Liu (HOCLL) equation are obtained by the special limit λ j→ λ 1 taking from the …
Chen–Lee–Liu (HOCLL) equation are obtained by the special limit λ j→ λ 1 taking from the …
Nonlocal -component nonlinear Schrödinger equations: Bright solitons, energy-sharing collisions, and positons
The general set of nonlocal M-component nonlinear Schrödinger (nonlocal M-NLS)
equations obeying the PT-symmetry and featuring focusing, defocusing, and mixed …
equations obeying the PT-symmetry and featuring focusing, defocusing, and mixed …
[BOOK][B] Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 1
N Euler - 2018 - taylorfrancis.com
Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 1 aims to
describe the recent progress in nonlinear differential equations and nonlinear dynamical …
describe the recent progress in nonlinear differential equations and nonlinear dynamical …
Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity
We construct certain higher order smooth positon and breather positon solutions of an
extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize …
extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize …