Results 21 to 30 of about 23,327 (208)
Journal of Ocean Engineering and Science, 2019 Using the Lie symmetry approach, the author has examined traveling wave solutions of coupled Benjamin–Bona–Mahony-KdV equation. The coupled Benjamin–Bona–Mahony-KdV equation is reduced to nonlinear ordinary differential equations for all optimal ...
Vikas Kumar
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B\"acklund-Darboux Transformations and Discretizations of Super KdV Equation [PDF]
, 2014 For a generalized super KdV equation, three Darboux transformations and the corresponding B\"acklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations.
Liu, Qing Ping, Xue, Ling-Ling
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A Particle Method for the KdV Equation
Journal of Scientific Computing, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alina Chertock, Doron Levy
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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ON THE THIRD ORDER SOLUTION OF KdV EQUATION BY USING HOMOTOPY PERTURBATION METHOD
Barekeng, 2023 In this research we discussed about the solution of the KdV equation using Homotopy Perturbation method. The KdV equation that describing water wave equation solved by using the mixing method between Homotopy and Perturbation method.
Mashuri Mashuri +2 more
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Unidirectional wave motion in a nonlocally and nonlinearly elastic medium: the KdV, BBM, and CH equations; pp. 256–262 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 We consider unidirectional wave propagation in a nonlocally and nonlinearly elastic medium whose constitutive equation is given by a convolution integral with a suitable kernel function.
Hüsnü Ata Erbay +2 more
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Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
, 2011 The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Blower, Gordon
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The Linear KdV Equation with an Interface [PDF]
Communications in Mathematical Physics, 2016 The interface problem for the linear Korteweg-de Vries (KdV) equation in one-dimensional piecewise homogeneous domains is examined by constructing an explicit solution in each domain. The location of the interface is known and a number of compatibility conditions at the boundary are imposed.
Deconinck, Bernard +2 more
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Rational Solutions for the (2+1)-Dimensional Modified KdV-CBS Equation
Advances in Mathematical Physics, 2019 In this paper, with the help of symbolic computation, three types of rational solutions for the (2+1)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation are derived.
Yan Li, Temuer Chaolu, Yuexing Bai
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Results in Physics, 2021 In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in order to find exact solutions of the extended KdV equation.
Ali Althobaiti +3 more
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