Results 41 to 50 of about 17,976 (126)
Whitham theory for perturbed Korteweg-de Vries equation
, 2015 Original Whitham's method of derivation of modulation equations is applied to systems whose dynamics is described by a perturbed Korteweg-de Vries equation. Two situations are distinguished: (i) the perturbation leads to appearance of right-hand sides in
Kamchatnov, A. M.
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Numerical study of a multiscale expansion of KdV and Camassa-Holm equation
, 2007 We study numerically solutions to the Korteweg-de Vries and Camassa-Holm equation close to the breakup of the corresponding solution to the dispersionless equation.
Grava, T., Klein, C.
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Smooth soliton solutions of a new integrable equation by Qiao [PDF]
, 2010 We find a transformation which relates a new third-order integrable nonlinear evolution equation, introduced recently by Qiao, with the well-known modified Korteweg - de Vries equation.
Sakovich, Sergei
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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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Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation
, 2003 A bridge going from Wronskian solutions to generalized Wronskian solutions of the Korteweg-de Vries equation is built. It is then shown that generalized Wronskian solutions can be viewed as Wronskian solutions.
Ma, Wen-Xiu
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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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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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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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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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