Results 111 to 120 of about 8,881 (223)

Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation

Advances in Mathematical Physics, 2017
The Korteweg-de Vries (KdV) equation, especially the fractional higher order one, provides a relatively accurate description of motions of long waves in shallow water under gravity and wave propagation in one-dimensional nonlinear lattice.
Dianchen Lu, Chen Yue, Muhammad Arshad
doaj   +1 more source

Solution of Fifth-order Korteweg and de Vries Equation by Homotopy perturbation Transform Method using He’s Polynomial

Nonlinear Engineering, 2017
In this paper, a combined form of the Laplace transform method with the homotopy perturbation method is applied to solve nonlinear fifth order Korteweg de Vries (KdV) equations. The method is known as homotopy perturbation transform method (HPTM).
Sharma Dinkar, Singh Prince, Chauhan Shubha   +2 more
doaj   +1 more source

Numerical analysis of the fractional nonlinear waves of fifth-order KdV and Kawahara equations under Caputo operator

AIMS Mathematics
This study delved into the analytical investigation of two significant nonlinear partial differential equations, namely the fractional Kawahara equation and fifth-order Korteweg-De Vries (KdV) equations, utilizing advanced analytical techniques: the ...
Musawa Yahya Almusawa, Hassan Almusawa
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Fractional View Analysis System of Korteweg–de Vries Equations Using an Analytical Method

Fractal and Fractional
This study introduces two innovative methods, the new transform iteration method and the residual power series transform method, to solve fractional nonlinear system Korteweg–de Vries (KdV) equations.
Yousef Jawarneh, Zainab Alsheekhhussain, M. Mossa Al-Sawalha   +2 more
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Joseph Valentin Boussinesq, Diederik Johann Korteweg, Gustav de Vries and the KdV equation [PDF]

, 1995
D. I. Trubet︠s︡kov
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High-order numerical method for the fractional Korteweg-de Vries equation using the discontinuous Galerkin method

AIMS Mathematics
The fractional Korteweg-de Vries (KdV) equation generalizes the classical KdV equation by incorporating truncation effects within bounded domains, offering a flexible framework for modeling complex phenomena.
Yanhua Gu
doaj   +1 more source

Effects of Nonextensive Electrons on Dust-Ion Acoustic Waves in a Collisional Dusty Plasma with Negative Ions. [PDF]

Entropy (Basel), 2023
Liu Z.
europepmc   +1 more source

Exact Solutions of Stochastic Burgers-KdV Equation with variable coefficients

We will present exact solutions for three variations of stochastic Korteweg de Vries-Burgers (KdV-Burgers) equation featuring variable coefficients.
Adjibi, Kolade, Martinez, Allan, Mascorro, Miguel, Montes, Carlos, Oraby, Tamer, Sandoval, Rita, Suazo, Erwin   +6 more
core  

Numerical investigations of the Korteweg-de Vries (KdV) equation [PDF]

, 2008
Brian R. Johansen
openalex  

Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method. [PDF]

Heliyon, 2023
Shang J, Li W, Li D.
europepmc   +1 more source