Results 11 to 20 of about 31 (31)
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
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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
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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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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
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(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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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
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Alexandria Engineering Journal, 2020 In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
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Efficient numerical scheme based on the method of lines for the shallow water equations
Journal of Ocean Engineering and Science, 2018 In this paper, a nonlinear shallow-water model of tsunami wave propagation at different points along a coastline of an ocean has been numerically simulated using method of lines.
Mohamed M. Mousa
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Multi-solitons for nonlinear Klein–Gordon equations
Forum of Mathematics, Sigma, 2014 In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\
RAPHAËL CÔTE, CLAUDIO MUÑOZ
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Demonstratio MathematicaIn this paper, we consider the following singularly perturbed Chern-Simons-Schrödinger systems(P) −ε2Δu+e2|A|2+V(x)+2eA0+21+κq2Nu+q|u|p−2u=0, −ε2ΔN+κ2q2N+q1+κq2u2=0, εκ∂1A2−∂2A1=−eu2,∂1A1+∂2A2=0, εκ∂1A0=e2A2u2,εκ∂2A0=−e2A1u2, $$\begin{cases}\quad \hfill &
Deng Jin
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