Results 61 to 70 of about 929 (72)

Integrability and Linear Stability of Nonlinear Waves. [PDF]

open access: yesJ Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source
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Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation

, 2021
In this paper, we investigate two dimensionally reduced cases of a new (3+1)dimensional generalised Kadomtsev-Petviashvili equation. With symbolic computation, lump solutions are derived via searching for positive quadratic function solutions to the ...
Xing Lü
semanticscholar   +1 more source

A method of proving the convergence of the formal Laurent series solutions of nonlinear evolution equations

, 2021
In this paper, we provide an algorithm to convert the third-order nonlinear evolution equations to regular higher-order partial differential equations near movable singularities. Therefore, the Cauchy-Kowalevski theorem is always applicable. As a result,
T. Yee
semanticscholar   +1 more source

A mirror approach to the study of the generalized Henon-Heiles Hamiltonian systems

, 2020
In this paper we present the extended part of a study of the generalized Hénon-Heiles Hamiltonian system for the integrability through the singularity analysis.
T. Yee
semanticscholar   +1 more source

A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

Communications in Computational Physics, 2019
In this paper, we present an efficient numerical scheme to calculate Nperiodic wave solutions to the Toda-type equations. The starting point is the algebraic condition for having N-periodic wave solutions proposed by Akira Nakamura.
Yingnan Zhang
semanticscholar   +1 more source

Deformation of the Poisson Structure Related to Algebroid Bracket of Differential Forms and Application to Real Low Dimentional Lie Algebras

Geometry Integrability and Quantization, 2019
The main goal of this paper is to present the possibility of application of some well known tools of Poisson geometry to classification of real low dimensional Lie algebras.
A. Dobrogowska   +3 more
semanticscholar   +1 more source

The Painlevé test for a system of coupled equations from nonlinear birefringence

, 2018
The Painlevé analysis has been performed for integrability of an example of two coupled equations taken from the field of nonlinear fiber optics. This is a generic system of highly nonlinear differential equations which describes the phenomena in ...
T. Yee
semanticscholar   +1 more source

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