Results 51 to 60 of about 18,115 (195)
Open Physics, 2018 In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing ...
Wang Jianyong +4 more
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An Inverse Scattering Transform for the Lattice Potential KdV Equation
, 2011 The lattice potential Korteweg-de Vries equation (LKdV) is a partial difference equation in two independent variables, which possesses many properties that are analogous to those of the celebrated Korteweg-de Vries equation.
Ablowitz M J +10 more
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Informatika, 2017 The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
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Convergence of the Rosenau-Korteweg-de Vries Equation to the Korteweg-de Vries One
Contemporary Mathematics, 2020 The Rosenau-Korteweg-de Vries equation describes the wave-wave and wave-wall interactions. In this paper, we prove that, as the diffusion parameter is near zero, it coincides with the Korteweg-de Vries equation. The proof relies on deriving suitable a priori estimates together with an application of the Aubin-Lions Lemma.
Coclite, Giuseppe Maria +1 more
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On the Korteweg‐de Vries equation: an associated equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 The purpose of this paper is to describe a relationship between the Korteweg‐de Vries (KdV) equation urn:x-wiley:01611712:media:ijmm237357:ijmm237357-math-0001 and another nonlinear partial differential equation of the form urn:x-wiley:01611712:media:ijmm237357:ijmm237357-math-0002 The second equation will be called the Associated Equation (AE ...
Eugene P. Schlereth, Ervin Y. Rodin
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Ain Shams Engineering Journal, 2018 In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad +2 more
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Boussinesq Solitary-Wave as a Multiple-Time Solution of the Korteweg-de Vries Hierarchy
, 1995 We study the Boussinesq equation from the point of view of a multiple-time reductive perturbation method. As a consequence of the elimination of the secular producing terms through the use of the Korteweg--de Vries hierarchy, we show that the solitary ...
J. C. Montero +4 more
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MathematicsThis paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
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Exact traveling wave solutions to higher order nonlinear equations
Journal of Ocean Engineering and Science, 2019 The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
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Results in PhysicsUsing the Jacobi elliptic function expansion method, which is improved by the novel use of truncated M-fractional derivatives, we thoroughly analyze the improved modified Korteweg-de Vries problem in this paper.
Aamir Farooq +3 more
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