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On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger’s equations using homotopy analysis transform method

, 2020
In this paper we consider the homotopy analysis transform method (HATM) to solve the time fractional order Korteweg-de Vries (KdV) and Korteweg-de Vries-Burger’s (KdVB) equations.
K. Saad   +4 more
semanticscholar   +1 more source

Solutions of matrix soliton equations: some results on Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations

2019
Some recent results concerning nonlinear non-Abelian KdV and mKdV equations are presented. Operator equations are studied in references [2]-[7] where structural properties of KdV type equations are investigated. Now, in particular, on the basis of results, the special finite dimensional case of matrix soliton equations is addressed to: solutions of ...
Sandra Carillo   +2 more
openaire   +1 more source

Discrete analog of the Korteweg-de vries (KDV) equation: Integration by the method of the inverse problem

Mathematical Notes, 1994
We consider the following system of nonlinear evolution equations: \[ \begin{aligned} \dot b_n & = b_n\Biggl(c_1(b_{n+ 1}- b_{n- 1})- c_2\Biggl(b_{n+ 1} \Biggl(\sum^2_{k= 0} b_{n+ k}\Biggr)- b_{n- 1} \Biggl(\sum^2_{k= 0} b_{n+ k}\Biggr)\Biggr)\Biggr),\tag{1}\\ b_n & = b_n(t),\quad t\in [0, T),\quad n\in \mathbb{Z};\quad c_1, c_2\in \mathbb{C};\;\cdot =
openaire   +2 more sources

Water waves and Korteweg–de Vries equations

Journal of Fluid Mechanics, 1980
R. S. Johnson
semanticscholar   +1 more source

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker   +2 more
exaly  

The general relativistic constraint equations

Living Reviews in Relativity, 2021
Alessandro Carlotto
exaly  

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