Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation

Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation

This paper aims to study the modified Gardner (mG) equation that was proposed in the literature a short while ago. We first construct conserved vectors of the mG equation by invoking three different techniques; namely the method of multiplier, Noether’s theorem, and the conservation theorem owing to...

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Bibliographic Details
Main Authors: Chaudry Masood Khalique, Carel Olivier, Boikanyo Pretty Sebogodi
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:AppliedMath
Subjects:
Modified Gardner equation
Lie symmetries
conserved vectors
Noether’s theorem
multiplier method
numerical simulation
Online Access:https://www.mdpi.com/2673-9909/4/4/78
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