Results 11 to 20 of about 8,881 (223)

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

, 2011
15 ...
Y. Ben-Aryeh
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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.
İbrahim Enam İNAN
openaire   +3 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
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Soliton fission and fusion of a new two-component Korteweg–de Vries (KdV) equation

Computers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong, Xuelin, Yang, Yongping, Chen, Degang   +2 more
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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
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Soliton solutions for nonlinear variable-order fractional Korteweg–de Vries (KdV) equation arising in shallow water waves

Journal of Ocean Engineering and Science, 2022
Umair Ali, Hijaz Ahmad, Hanaa Abu-Zinadah   +2 more
openaire   +2 more sources

Unique continuation principle for high order equations of Korteweg-de Vries type

Electronic Journal of Differential Equations, 2013
In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy.
Pedro Isaza
doaj   +3 more sources

EXACT TRAVELLING WAVE SOLUTIONS OF THE SCHAMEL-KORTEWEG-DE VRIES (SCHAMEL-KdV) EQUATION

Journal of Mathematical Sciences: Advances and Applications, 2015
Jian Yang, Shengqiang Tang, W Maliet, W Maliet, E Fan, E Fan, Y Hong, M Wang, J He, X Wu, A Wazwaz, E Yusufoglu, A Bekir, M Alp, Y Peng, Y Peng, Y Peng, Y Zhao, M Wang, Y Wang, J Liu, K Yang, H Chen, H Zhang, S Elwakil, S El-Labany, M Zahran, R Sabry, M Abdou, S Zhang, D Baldwin, U Goktas, W Hereman, Sirendaoerji Taogetusang, A Khater, M Hassan, E Krishnan, Y Peng, M Hassan, Hans Schamel, S Tagare, A Chakrabarti, Willy Hereman, Takaoka Masanori, Jonu Lee, Rathinasamy Sakthivel   +45 more
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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, Aissa Boukarou, Zayd Hajjej, Khaled Zennir   +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, Nana Chen, Ioannis Dassios, Nehad Ali Shah, Jae Dong Chung   +4 more
doaj   +1 more source