Results 11 to 20 of about 22,025,942 (161)

Painlevé test and the first Painlevé hierarchy [PDF]

, 1999
Starting from the first Painlevé equation, Painlevé type equations of higher order are obtained by using the singular point ...
Jrad F., Muǧan, U.
core   +1 more source

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
core   +1 more source

A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions

Results in Physics, 2021
In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlevé analysis.
Sandeep Malik, Hassan Almusawa, Sachin Kumar, Abdul-Majid Wazwaz, M.S. Osman   +4 more
doaj   +1 more source

Dispersive dromions, conserved densities and fluxes with integrability via P-test for couple of nonlinear dynamical system

Results in Physics, 2022
The famous Hamiltonian amplitude equation (HAE) and the well known cubic nonlinear Schrödinger equation (CNLSE) with repulsive delta potential have been taken into account for integrability analysis, establishment of conservation laws (CLs) and traveling
Azhar Bashir, Aly R. Seadawy, Syed T.R. Rizvi, Ijaz Ali, Saeed Althubiti   +4 more
doaj   +1 more source

Lagrangians of Painlevé equations [PDF]

, 2020
In this article, we investigate Lagrangians of Painlevé equations. As is well known, Painlevé equations can be rewritten into Painlevé systems which are Hamiltonian systems.
Murata, Yoshihiro
core  

Integrable Abelian vortex-like solitons

Physics Letters B, 2017
We propose a modified version of the Ginzburg–Landau energy functional admitting static solitons and determine all the Painlevé-integrable cases of its Bogomolny equations of a given class of models.
Felipe Contatto
doaj   +1 more source

Painlevé analysis of the inhomogeneous Kadomtsev-Petviashvili equation [PDF]

, 1996
The complete integrability aspects of a variable coefficient Kadomtsev-Perviashvili equation is analysed from the point of view of the Painlevé analysis.
Uthayakumar, A., Porsezian, K.
core   +1 more source

Stability: Conservation laws, Painlevé analysis and exact solutions for S-KP equation in coupled dusty plasma

Results in Physics, 2017
The propagation of nonlinear waves in unmagnetized strongly coupled dusty plasma with Boltzmann distributed electrons, iso-nonthermal distributed ions and negatively charged dust grains is considered.
O.H. EL-Kalaawy, S.M. Moawad, Shrouk Wael   +2 more
doaj   +1 more source

Open Problems for Painlevé Equations [PDF]

, 2019
In this paper some open problems for Painlevé equations are discussed. In particular the following open problems are described: (i) the Painlevé equivalence problem; (ii) notation for solutions of the Painlevé equations; (iii) numerical solution of ...
Clarkson, Peter, Clarkson, P.A.
core   +1 more source

Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation

Abstract and Applied Analysis, 2011
The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.
Lin Jianming, Ding Jie, Yuan Wenjun
doaj   +1 more source