Journal of Nonlinear Mathematical Physics

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How to Superize Liouville Equation
Journal of Nonlinear Mathematical Physics -
Dimitry Leites
Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation
Journal of Nonlinear Mathematical Physics - Tập 7 Số 1 - Trang 1
Yu Su, Kouichi Toda
Invariance Analysis of the (2+1) Dimensional Long Dispersive Wave Equation
Journal of Nonlinear Mathematical Physics - Tập 4 - Trang 251-260 - 1997
M. Senthil Velan, M. Lakshmanan
In this paper, we bring out the Lie symmetries and associated similarity reductions of the recently proposed (2+1) dimensional long dispersive wave equation. We point out that the integrable system admits an infinite-dimensional symmetry algebra along with Kac-Moody-Virasoro-type subalgebras. We also bring out certain physically interesting solutions.
Nonlinear Schrödinger Equations and the Separation Property
Journal of Nonlinear Mathematical Physics - Tập 2 - Trang 120-132 - 1995
Gerald A. Goldin, George Svetlichny
We investigate hierarchies of nonlinear Schrödinger equations for multiparticle systems satisfying the separation property, i.e., where product wave functions evolve by the separate evolution of each factor. Such a hierarchy defines a nonlinear derivation on tensor products of the single-particle wave-function space, and satisfies a certain homogeneity property characterized by two new universal p...... hiện toàn bộ
Liouvillian and Analytic First Integrals for the Brusselator System
Journal of Nonlinear Mathematical Physics - Tập 19 Số 2 - Trang 247
Jaume Llibre, Clàudìa Valls
Painlevé Test and Higher Order Differential Equations
Journal of Nonlinear Mathematical Physics - Tập 9 Số 3 - Trang 282
Ugurhan Mu Gan, Fahd Jrad
A System of High-Order Fractional Differential Equations with Integral Boundary Conditions
Journal of Nonlinear Mathematical Physics - Tập 30 - Trang 699-718 - 2023
M. Sangi, S. Saiedinezhad, M. B. Ghaemi
The existence of a solution for a system of two nonlinear high-order fractional differential equations including the Atangana-Baleanu-Caputo derivative with integral boundary conditions, is proved. Simultaneously, we discuss the existence of a solution by applying the Schauder fixed point theorem and a generalized Darbo fixed point theorem, which involves the concept of measure of noncompactness. ...... hiện toàn bộ
On Lie-point symmetries for Ito stochastic differential equations
Journal of Nonlinear Mathematical Physics - Tập 24 - Trang 90-102 - 2021
G. Gaeta, C. Lunini
In the deterministic realm, both differential equations and symmetry generators are geometrical objects, and behave properly under changes of coordinates; actually this property is essential to make symmetry analysis independent of the choice of coordinates and applicable. When trying to extend symmetry analysis to stochastic (Ito) differential equations, we are faced with a problem inherent to th...... hiện toàn bộ
On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations
Journal of Nonlinear Mathematical Physics - Tập 25 Số 1 - Trang 34
Danda Zhang
Correctors for Some Nonlinear Monotone Operators
Journal of Nonlinear Mathematical Physics - Tập 8 - Trang 8-30 - 2001
Johan Byström
In this paper we study homogenization of quasi-linear partial differential equations of the form — div(a(x, x/εh, Duh)) = fh on Ω with Dirichlet boundary conditions. Here the sequence (εh) tends to 0 as h → ∞ and the map a(x, y, ξ) is periodic in y, monotone in ξ and satisfies suitable continuity conditions. We prove that uh → u weakly in ...... hiện toàn bộ
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