Results 1 to 10 of about 453 (182)

Generalized (G'/G) - Expansion Method for Some Soliton Wave Solution of the Coupled Potential Korteweg–de Vries (KdV) equation

Karadeniz Fen Bilimleri Dergisi, 2019
In this article, some soliton wave solutions of the coupled potential KdV equation have been found using the generalized (G '/ G) - expansion method. For this equation, hyperbolic function solutions, trigonometric function solutions and rational function solutions have been obtained.
openaire   +2 more sources

Numerical Studying of Soliton in the Korteweg-de Vries (KdV) Equation

Journal of Physics: Conference Series, 2019
Lia Yuliawati, Wono Setya Budhi, Didit Adytia   +2 more
openaire   +1 more source

Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 + 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)

Symmetry
The main aim of this article is to modify the space-time fractionalKdV equations using the Bessel operator. The triple Laplace transform decomposition method (TLTDM) is proposed to find the solution for a time-fractional singular KdV coupled system of equations. Three problems are discussed to check the accuracy and illustrate the effectiveness of this
Hassan Eltayeb Gadain, Imed Bachar, Said Mesloub   +2 more
openaire   +1 more source

A Novel Approach to Solving Generalised Nonlinear Dynamical Systems Within the Caputo Operator

Fractal and Fractional
In this study, we focus on solving the nonlinear time-fractional Hirota–Satsuma coupled Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations, using the Yang transform iterative method (YTIM).
Mashael M. AlBaidani, Rabab Alzahrani
doaj   +1 more source

Soliton solutions of non-linear Schrodinger (NLS) and Korteweg de Vries (KdV) equations related to zero curvature in the x,t plane

, 2011
15 ...
openaire   +2 more sources

New analytical wave solutions for the gardner equation via the Riccati-modified extended simple equation method. [PDF]

Sci Rep
Jawarneh Y, Almusawa MY, Haleemzai I, Hakami AH, Ahmadini AAH, Albaity A.   +5 more
europepmc   +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

Energy Dynamics of Long-Wave Low-Amplitude Disturbances in an Anharmonic One-Dimensional Lattice. [PDF]

Materials (Basel)
Shcherbinin S, Baimova J, Krivtsov A.
europepmc   +1 more source

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]

Sci Rep
Hussain A, Ibrahim TF, Birkea FMO, Yahya MS, Hassaballa AA, Mukalazi H.   +5 more
europepmc   +1 more source

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