Results 71 to 80 of about 22,025,942 (161)
Toward the exact WKB analysis of discrete Painlevé equations (Microlocal Analysis and Singular Perturbation Theory) [PDF]
, 2017 "Microlocal Analysis and Singular Perturbation Theory". October 5～9, 2015. edited by Yoshitsugu Takei, Takashi Aoki, Naofitmi Honda, Kiyoomi Kataoka and Tatsuya Koike.
Takei, Yoshitsugu, Joshi, Nalini
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +3 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study proposes a comprehensive study on fractional soliton solutions and chaotic nature for the temporal M‐fractional Yajima–Oikawa (YO) model in shortwave and longwave regimes. Utilizing the new Jacobian elliptic function method, the optical soliton solutions are examined with diverse categories, including kinky‐periodic wave, kink with bell wave,
Md. Mamunur Roshid +5 more
wiley +1 more source
Painlevé analysis and integrability aspects of some nonlinear partial differential equations
, 1997 A brief review of the Painlevé singularity structure analysis of some autonomous and nonautonomous nonlinear partial differential equations is discussed.
Porsezian, K.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents an analysis of breather soliton solutions of the integrable extended KdV and KP equations in (2 + 1)‐ and (3 + 1)‐dimensional settings. Employing symbolic computation along with Hirota’s bilinear formalism, we construct positive logarithmic function solutions for the corresponding bilinear equations associated with each model. These
Ali Danladi +4 more
wiley +1 more source
Singularity and symmetry analyses of mathematical models of epidemics
South African Journal of Science, 2009 We present a summary of the methods of Lie symmetry and Painlevé singularity analyses and apply them to a number of well-known epidemiological models to demonstrate the utility of these analyses in the analysis of dynamical systems which arise during ...
M. Nucci, P. Leach
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Painlevé analysis and special solutions for a class of Cahn–Hilliard equations
, 1992 A Painlevé analysis of a family of Cahn–Hilliard equations (with diffusion coefficients of the form [Formula: see text] is performed. For m = 2, the equation fails the Painlevé test.
S. Roy Choudhury
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Учёные записки Казанского университета: Серия Физико-математические наукиThere is considerable interest in studying unbounded solutions of nonlinear partial equations. In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. Here,
A. I. Aristov
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Symmetry Analysis, Bäcklund Transformations, and Interaction Solutions for an AB Modified KdV System
Advances in Mathematical Physics, 2020 An AB modified KdV (AB-mKdV) system which can be used to describe two-place event is studied in this manuscript. Because the AB-mKdV system is considered as a special reduction of the famous AKNS system, the properties of the AKNS system are first ...
Man Jia
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Second-order second-degree Painlevé equations related to Painlevé IV,V,VI equations [PDF]
, 1998 The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain one-to-one correspondence between the Painlevé IV, V and VI equations and the second-order second-degree ...
Sakka, A., Muǧan, U.
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