Fractional System of Korteweg-De Vries Equations via Elzaki Transform
Mathematics, 2021 In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined.
Wenfeng He +4 more
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BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION
Journal of Applied Analysis and Computation, 2020 Recently, time-fractional PDE has received much attention due to its advantages in modeling complex systems. It allows us to tackle efficiently problems involving complexity, self-similar, scale-free, and inverse power law. In particular, time-fractional PDE provides an excellent way for the description of memory and hereditary properties of various ...
Wang, Jingqun, Tian, Lixin
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Weakly nonlinear wavepackets in the Korteweg–de Vries equation: the KdV/NLS connection [PDF]
Mathematics and Computers in Simulation, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John P. Boyd
exaly +3 more sources
Soliton fission and fusion of a new two-component Korteweg–de Vries (KdV) equation
Computers and Mathematics With Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Degang Chen
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Analytical and Numerical Computations of Multi-Solitons in the Korteweg-de Vries (KdV) Equation () [PDF]
Applied Mathematics, 2020 In this paper, an analytical and numerical computation of multi-solitons in Korteweg-de Vries (KdV) equation is presented. The KdV equation, which is classic of all model equations of nonlinear waves in the soliton phenomena, is described. In the analytical computation, the multi-solitons in KdV equation are computed symbolically using computer ...
Hycienth O. Orapine +2 more
exaly +2 more sources
Interacting dust-acoustic multi-soliton and periodic waves in strongly coupled dusty plasma with ion-drag force [PDF]
Scientific ReportsThis study investigates head-on collisions of nonlinear dust acoustic waves (DAWs) in an unmagnetized, strongly coupled dusty plasma with ion-drag force.
Shahrina Akter +2 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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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
doaj +2 more sources
Lagrangian structures and multidimensional consistency [PDF]
, 2010 The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
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On tau functions associated with linear systems [PDF]
, 2012 \noindent {\bf Abstract} This paper considers the Fredholm determinant $\det (I-\Gamma_x)$ of a Hankel integral operator on $L^2(0, \infty )$ with kernel $\phi (s+t+2x)$, where $\phi$ is a matrix scattering function.
Samantha L. Newsham +3 more
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