Results 21 to 30 of about 123,704 (291)
Travelling waves for the Gross-Pitaevskii equation II [PDF]
, 2008 The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three.
A. Bouard de +34 more
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Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models
Abstract and Applied Analysis, 2014 The paper considers the nonlocal hydrodynamic-type systems which are two-dimensional travelling wave systems with a five-parameter group. We apply the method of dynamical systems to investigate the bifurcations of phase portraits depending on the ...
Jianping Shi, Jibin Li
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A numerical study of two-phase flow with dynamic capillary pressure using an adaptive moving mesh method [PDF]
, 2016 Motivated by observations of saturation overshoot, this paper investigates numerical modeling of two-phase flow incorporating dynamic capillary pressure.
Zegeling, Paul Andries, Zhang, Hong
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Abstract and Applied Analysis, 2015 Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented.
A. R. Seadawy, K. El-Rashidy
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New Travelling Wave Solutions of Two Nonlinear Physical Models by Using a Modified Tanh-Coth Method
Journal of Algorithms & Computational Technology, 2015 In this work, a modified tanh – coth method is used to derive travelling wave solutions for (2 + 1)-dimensional Zakharov-Kuznetsov (ZK) equation and (3 + 1)-dimensional Burgers equation. A new variable is used to solve these equations and established new
Ömer Faruk Gözükizil, Abdellah Salhi
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Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities [PDF]
Zeitschrift für Naturforschung A, 2018 Abstract We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the ...
Stefan C. Mancas +2 more
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Soliton solution in nonlinear lattice with nearest neighbour Born–Mayer interaction
Journal of Taibah University for Science, 2017 We study the dynamics of one-dimensional uniform lattice with the interatomic Born–Mayer potential. The travelling wave solutions such as solitons are analytically described.
Muzzammil Ahmad Bhat +2 more
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International Journal of Mathematics and Mathematical Sciences, 2010 This paper is concerned with instability of periodic travelling wave solutions of the modified Boussinesq equation. Periodic travelling wave solutions with a fixed fundamental period L will be constructed by using Jacobi's elliptic functions.
Lynnyngs Kelly Arruda
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Mapping Methods to Solve a Modified Korteweg-de Vries Type Equation
Sultan Qaboos University Journal for Science, 2015 In this paper, we employ mapping methods to construct exact travelling wave solutions for a modified Korteweg-de Vries equation. We have derived periodic wave solutions in terms of Jacobi elliptic functions, kink solutions and singular wave solutions in ...
Edamana. V. Krishnan
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Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems [PDF]
, 2003 We obtain exact travelling wave solutions for three families of stochastic one-dimensional nonequilibrium lattice models with open boundaries. These solutions describe the diffusive motion and microscopic structure of (i) of shocks in the partially ...
Alimohammadi M +51 more
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