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Integrability and Linear Stability of Nonlinear Waves. [PDF]
Degasperis A, Lombardo S, Sommacal M.
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Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation
P. Gaillard
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A higher-order quadratic NLS equation on the half-line. [PDF]
Himonas AA, Yan F.
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Study on Lump Behavior for a New (3+1)-Dimensional Generalised Kadomtsev-Petviashvili Equation
, 2021In 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
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, 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
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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
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A mirror approach to the study of the generalized Henon-Heiles Hamiltonian systems
, 2020In 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
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A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations
Communications in Computational Physics, 2019In 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
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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
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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
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The Painlevé test for a system of coupled equations from nonlinear birefringence
, 2018The 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
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