Results 81 to 90 of about 4,529 (186)

Nonanalytic solutions of the KdV equation [PDF]

open access: yes, 2004
We construct nonanalytic solutions to the initial value problem for the KdV equation with analytic initial data in both the periodic and the nonperiodic ...
A. Alexandrou Himonas, Peter Byers
core   +1 more source

Bäcklund–Darboux Transformations and Discretizations of Super KdV Equation

open access: yes, 2014
. For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformations leads to three discrete systems and their Lax representations.
Xue, L.L.   +3 more
core   +1 more source

Higher dimensional integrable deformations of the modified KdV equation

open access: yes, 2023
The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of integrability.
Lou, S. Y., Hao, Xiazhi
core   +1 more source

Formulation and Solution of Space-Time Fractional KdV-Burgers Equation

open access: yes, 2013
The space-time fractional KdV-Burgers equation has been derived using the semi-inverse method and Agrawal’s variational method. The modified Riemann-Liouville definition is used for the fractional differential operators.
Abulwafa Essam M.
core  

A Limit Symmetry of Modified KdV Equation and Its Applications A Limit Symmetry of Modified KdV Equation and Its Applications *

open access: yes, 2020
In this letter we consider a limit symmetry of the modified KdV equation and its application. The similarity reduction leads to limit solutions of the modified KdV equation.
J I Jie   +3 more
core  

Lie symmetry analysis of the deformed KdV equation

open access: yes, 2017
The deformed KdV equation is a generalization of the classical equation that can describe the motion of the interaction between different solitary waves. In this paper, the Lie symmetry analysis is performed on the deformed KdV equation.
Guo Wang   +3 more
core   +1 more source

Study of Ion-Acoustic Solitary Waves in a Magnetized Plasma Using the Three-Dimensional Time-Space Fractional Schamel-KdV Equation

open access: yesComplexity, 2018
The study of ion-acoustic solitary waves in a magnetized plasma has long been considered to be an important research subject and plays an increasingly important role in scientific research. Previous studies have focused on the integer-order models of ion-
Min Guo   +4 more
doaj   +1 more source

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