Results 11 to 20 of about 520 (49)
New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities
Frontiers in Physics, 2020 New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed +6 more
doaj +1 more source
Fine Structure of Matrix Darboux-Toda Integrable Mapping [PDF]
, 1998 We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new
Leznov, A. N., Yuzbashyan, E. A.
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Partial Differential Equations in Applied Mathematics, 2020 In this article, we apply a direct influential approach namely enhanced modified simple equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo (FHN) equations which explain nerve pulse propagation in nerve fibers, circuit theory ...
Md. Mamunur Roshid +3 more
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Localized Induction Equation for Stretched Vortex Filament [PDF]
, 2006 We study numerically the motion of the stretched vortex filaments by using the localized induction equation with the stretch and that without the stretch.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at ...
Kakuhata, Hiroshi, Konno, Kimiaki
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Andrew Lenard: A Mystery Unraveled [PDF]
, 2005 The theory of bi-Hamiltonian systems has its roots in what is commonly referred to as the "Lenard recursion formula". The story about the discovery of the formula told by Andrew Lenard is the subject of this article.Comment: Published in SIGMA (Symmetry,
Praught, Jeffery, Smirnov, Roman G.
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Multi-soliton Solutions of Two-dimensional Matrix Davey-Stewartson Equation [PDF]
, 1996 The explicit formulae for m-soliton solutions of (1+2)-dimensional matrix Davey-Stewartson equation are represented. They are found by means of known general solution of the matrix Toda chain with the fixed ends [1].
A.N. Leznov +15 more
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On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 6, Issue 6, Page 329-338, 2001., 2001 For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
Yuriy Valentinovich Zasorin
wiley +1 more source
(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations
Advances in Nonlinear Analysis, 2014 We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
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Three‐dimensional Korteweg‐de Vries equation and traveling wave solutions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 379-384, 2000., 2000 The three‐dimensional power Korteweg‐de Vries equation [ut+unux+uxxx] x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n = 1 and n = 2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson′s summation ...
Kenneth L. Jones
wiley +1 more source
Painleve analysis of a class of nonlinear diffusion equations
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 77-86, 1996., 1995 We study the Painleve analysis for a class of nonlinear diffusion equations. We find that in some cases it has only the conditional Painleve property and in other cases, just the Painleve property. We also obtained special solutions.
P. Chandrasekaran, E. K. Ramasami
wiley +1 more source