Results 81 to 90 of about 1,801 (94)

A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

Open Mathematics, 2014
Morozov Oleg
doaj   +1 more source

Integrability and Linear Stability of Nonlinear Waves. [PDF]

J Nonlinear Sci, 2018
Degasperis A, Lombardo S, Sommacal M.
europepmc   +1 more source

Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation

, 2013
P. Gaillard
semanticscholar   +1 more source

On constant mean curvature surfaces satisfying integrable boundary conditions [PDF]

arXiv
We consider the local theory of constant mean curvature surfaces that satisfy one or two integrable boundary conditions and determine the corresponding potentials for the generalized Weierstrass representation.
arxiv  

A higher-order quadratic NLS equation on the half-line. [PDF]

J Evol Equ
Himonas AA, Yan F.
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