Results 31 to 40 of about 8,881 (223)

The KdV hierarchy and the propagation of solitons on very long distances [PDF]

, 2005
The Korteweg-de Vries (KdV) equation is first derived from a general system of partial differential equations. An analysis of the linearized KdV equation satisfied by the higher order amplitudes shows that the secular-producing terms in this equation are
H. Leblond
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Modified homotopy perturbation method and its application to analytical solitons of fractional-order Korteweg–de Vries equation

Beni-Suef University Journal of Basic and Applied Sciences, 2022
Background Experimentally brought to light by Russell and hypothetically explained by Korteweg–de Vries, the KDV equation has drawn the attention of several mathematicians and physicists because of its extreme substantial structure in describing ...
Adedapo Ismaila Alaje, Morufu Oyedunsi Olayiwola, Kamilu Adewale Adedokun, Joseph Adeleke Adedeji, Asimiyu Olamilekan Oladapo   +4 more
doaj   +1 more source

Hypercomplex Systems and Non-Gaussian Stochastic Solutions with Some Numerical Simulation of χ-Wick-Type (2 + 1)-D C-KdV Equations

Axioms, 2022
In this article, we discuss the (2 + 1)-D coupled Korteweg–De Vries (KdV) equations whose coefficients are variables, and stochastic (2 + 1)-D C-KdV (C-KdV) equations with the χ-Wick-type product.
Mohammed Zakarya, Mahmoud A. Abd-Rabo, Ghada AlNemer   +2 more
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Integrable Coupled KdV Systems [PDF]

, 1997
We give the conditions for a system of N- coupled Korteweg de Vries(KdV) type of equations to be integrable. Recursion operators of each subclasses are also given.
Gurses, Metin, Karasu, Atalay
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Travelling wave solutions of the generalized nonlinear fifth-order KdV water wave equations and its stability

Journal of Taibah University for Science, 2017
In the present study, by implementing the direct algebraic method, we present the traveling wave solutions for some different kinds of the Korteweg–de Vries (KdV) equations. The exact solutions of the Kawahara, fifth order KdV and generalized fifth order
Aly R. Seadawy, Dianchen Lu, Chen Yue
doaj   +1 more source

Solitons in relativistic mean field models [PDF]

, 2005
Assuming that the nucleus can be treated as a perfect fluid we study the conditions for the formation and propagation of Korteweg-de Vries (KdV) solitons in nuclear matter.
Abul-Magd, Avancini, Avancini, Chiapparini, Clare, D.A. Fogaça, Davidson, Delfino, Dremin, F.S. Navarra, Fowler, Fritsch, Furnstahl, Furnstahl, Furnstahl, Glassgold, Hama, Hama, Hama, Hama, Hefter, Heinz, Kaiser, Kolb, Kolb, Lalazissis, Landau, Menezes, Raha, Raha, Raha, Renk, Rusnak, Santos, Sasaki, Sasaki, Satarov, Serot, Serot, Vautherin, Vretenar, Weise   +41 more
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The Zakharov–Shabat Spectral Problem for Complexification and Perturbation of the Korteweg–de Vries Equation

Axioms, 2023
In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina, Arthur R. Zakinyan, Robert G. Zakinyan   +2 more
doaj   +1 more source

Decoupled and unidirectional asymptotic models for the propagation of internal waves [PDF]

, 2012
We study the relevance of various scalar equations, such as inviscid Burgers', Korteweg-de Vries (KdV), extended KdV, and higher order equations (of Camassa-Holm type), as asymptotic models for the propagation of internal waves in a two-fluid system ...
Boussinesq J., Brandolese L., Carvajal Paredes X., Kano T., Vera Villagrán O. P., VINCENT DUCHÊNE   +5 more
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Twisted reductions of integrable lattice equations, and their Lax representations [PDF]

, 2014
It is well known that from two-dimensional lattice equations one can derive one-dimensional lattice equations by imposing periodicity in some direction.
Hietarinta, Jarmo, Ormerod, Christopher M., Quispel, G. R. W., van der Kamp, Peter H.   +3 more
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Homotopy analysis method for solving KdV equations [PDF]

Surveys in Mathematics and its Applications, 2010
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach.
Hossein Jafari, M. A. Firoozjaee
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