Results 31 to 40 of about 17,976 (126)
A Compact-Type CIP Method for General Korteweg-de Vries Equation
Abstract and Applied Analysis, 2014 We proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de ...
YuFeng Shi, Biao XU, Yan Guo
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Results in Physics, 2018 In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its ...
Innocent Simbanefayi +1 more
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Conserved energies for the cubic NLS in 1-d
, 2018 We consider the cubic Nonlinear Schr\"odinger Equation (NLS) as well as the modified Korteweg-de Vries (mKdV) equation in one space dimension. We prove that for each $s>-\frac12$ there exists a conserved energy which is equivalent to the $H^s$ norm of ...
Koch, Herbert, Tataru, Daniel
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Solitary wave solutions in time-fractional Korteweg-de Vries equations with power law kernel
AIMS Mathematics, 2023 The non-linear time-fractional Korteweg-de Vries and modified Korteweg-de Vries equations are studied with Caputo's fractional derivative. The general higher-order solitary wave solutions are derived using a novel technique called the Aboodh transform ...
Khalid Khan +3 more
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Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
Boundary Value Problems, 2017 In this paper, we address an inverse problem for the Korteweg-de Vries equation posed on a bounded domain with boundary conditions proposed by Colin and Ghidaglia.
Mo Chen
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Partial Differential Equations in Applied Mathematics, 2023 This paper presents exact solutions for the fractional Korteweg–de Vries equation and the fractional modified Korteweg–de Vries equation with additional term using the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
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Advances in Mathematical Physics, 2019 The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV ...
Abdullahi Rashid Adem +3 more
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Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]
, 2009 In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
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Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations
FoundationsThis paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg–De Vries equation, the Kuramoto–Sivashinsky equation, the generalized Korteweg–De Vries–Kuramoto–Sivashinsky equation and the nonhomogeneous ...
Marie-Thérèse Aimar +1 more
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Complex solitons with real energies [PDF]
, 2016 Using Hirota’s direct method and Bäcklund transformations we construct explicit complex one and two-soliton solutions to the complex Korteweg-de Vries equation, the complex modified Korteweg-de Vries equation and the complex sine-Gordon equation. The one-
Abramowitz M +15 more
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