Results 1 to 10 of about 2,698,771 (284)
On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation
Mathematics, 2019 A vector modified Yajima−Oikawa long-wave−short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and ...
Xianguo Geng, Ruomeng Li
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Heliyon, 2018 Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an ...
Md. Mamunur Roshid, Harun-Or Roshid
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A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
Nuclear Physics B, 2020 In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1 ...
Gangwei Wang +4 more
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General Decay Of A Nonlinear Viscoelastic Wave: Equation With Boundary Dissipation
Advances in Pure and Applied Mathematics, 2021 Amel Boudiaf, Salah Drabla
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Kajian Teoritis terhadap Persamaan Gelombang Nonlinier
Jurnal Teknik Sipil, 2010 Abstrak. Paper ini menyajikan hasil perumusan persamaan gelombang nonlinier dengan prosedur yang lain. Dimana amplitudo gelombang, persamaan momentum dari Euler dan tekanan hidrodinamis dari Bernoulli sepenuhnya digunakan, tanpa pemotongan atau ...
Syawaluddin Hutahean
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On the time-dependent parabolic wave equation
International Journal of Mathematics and Mathematical Sciences, 2002 One approach to the study of wave propagation in a restricted domain is to approximate the reduced Helmholtz equation by a parabolic wave equation. Here we consider wave propagation in a restricted domain modelled by a parabolic wave equation whose ...
Arthur D. Gorman
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Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
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Solitary wave collisions in the regularized long wave equation
Electronic Journal of Differential Equations, 2013 The regularized long-wave equation admits families of positive and negative solitary waves. Interactions of these waves are studied, and it is found that interactions of pairs of positive and pairs of negative solitary waves feature the same phase ...
Henrik Kalisch +2 more
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Propulsion and Power Research, 2018 In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and further general multiple exact wave solutions to the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation which arise in ...
H.M.Shahadat Ali +2 more
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Abstract and Applied Analysis, 2014 We study two nonlinear partial differential equations, namely, the symmetric regularized long wave equation and the Klein-Gordon-Zakharov equations. The Lie symmetry approach along with the simplest equation and exp-function methods are used to obtain ...
Isaiah Elvis Mhlanga +1 more
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