Results 41 to 50 of about 22,064 (260)
Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 1997 Solitons play a fundamental role in the evolution of general initial data for quasilinear dispersive partial differential equations, such as the Korteweg-de Vries (KdV), nonlinear Schrödinger, and the Kadomtsev-Petviashvili equations.
Fred Cooper, J. Hyman, A. Khare
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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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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
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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 +41 more
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Axioms, 2023 In this study, the inverse engineering problems of the Ostrovsky equation (OE), Kawahara equation (KE), modified Kawahara equation (mKE), and sixth-order Korteweg-de Vries (KdV) equation will be investigated numerically.
Chih-Wen Chang
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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. +5 more
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AIMS Mathematics, 2019 This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms.
Hayman Thabet, S. Kendre, J. Peters
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New numerical solutions of fractional-order Korteweg-de Vries equation
Results in Physics, 2020 We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving.
Mustafa Inc +3 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 +3 more
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Spatial Analyticity of Solutions to Korteweg–de Vries Type Equations
Mathematical and Computational Applications, 2021 The Korteweg–de Vries equation (KdV) is a mathematical model of waves on shallow water surfaces. It is given as third-order nonlinear partial differential equation and plays a very important role in the theory of nonlinear waves.
Keltoum Bouhali +4 more
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