Results 11 to 20 of about 453 (182)
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
exaly +2 more sources
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.
Xuelin Yong, Degang Chen
exaly +2 more sources
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
Classical Solutions for the Generalized Korteweg-de Vries Equation
Axioms, 2023 The Korteweg-de Vries equation models the formation of solitary waves in the context of shallow water in a channel. In our system, f or p=2 and p=3 (Korteweg-de Vries equations (KdV)) and (modified Korteweg-de Vries (mKdV) respectively), these equations ...
Svetlin Georgiev +3 more
doaj +1 more source
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
doaj +1 more source
Some finite difference methods for solving linear fractional KdV equation
Frontiers in Applied Mathematics and Statistics, 2023 The time-fractional Korteweg de Vries equation can be viewed as a generalization of the classical KdV equation. The KdV equations can be applied in modeling tsunami propagation, coastal wave dynamics, and oceanic wave interactions.
Appanah Rao Appadu, Abey Sherif Kelil
doaj +1 more source
Exact Solutions to a Class of Schamel Nonlinear Equations Modeling Dust Ion-acoustic Waves in Plasma [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2022 In this paper, we apply the extended Kudryashov method to construct some new exact solitary wave solutions of three important physical models, Schamel-nonlinear Schrödinger (S-NLS) equation, Schamel Korteweg-de Vries (S-KdV) equation, Schamel Korteweg-de
doaj +1 more source
Exact traveling wave solutions to higher order nonlinear equations
Journal of Ocean Engineering and Science, 2019 The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
doaj +1 more source
Electronic Journal of Applied Mathematics, 2023 New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries (KdV) equation to a quadratic ordinary differential equation that is fully integrated using the new version trial equation approach. The family of solitary wave solutions of
Pandir, Yusuf, Ekin, Ali
openaire +1 more source