Exploring the rich solution landscape of the generalized Kawahara equation: insights from analytical techniques

MMA Khater - The European Physical Journal Plus, 2024 - epjplus.epj.org
The primary objective of this investigation revolves around scrutinizing the generalized
Kawahara equation, a consequential nonlinear evolution equation prevalent in diverse …

Numerical approximation of modified Kawahara equation using Kernel smoothing method

A Zara, SU Rehman, F Ahmad, S Kouser… - … and Computers in …, 2022 - Elsevier
In this article, a numerical approximation of modified Kawahara equation is investigated by
Kernel smoothing method. The spatial derivatives involved in the modified Kawahara …

A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations

Ö Oruç, M Polat - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we devise a novel method to solve Kawahara‐type equations numerically. In
this novel method, for spatial discretization, we use delta‐shaped basis functions and …

Spectral Stability of Constrained Solitary Waves for the Generalized Singular Perturbed KdV Equation

F Han, Y Gao - The Journal of Geometric Analysis, 2024 - Springer
This paper is systematically concerned with the solitary waves on the constrained manifold
preserved the L 2-momentum conservation for the generalized singular perturbed KdV …

Symmetry reductions and conservation laws of a modified-mixed KdV equation: exploring new interaction solutions

N Raza, ML Gandarias Núñez, GA Basendwah - 2024 - rodin.uca.es
This article represented the investigation of the modified mixed Korteweg-de Vries equation
using di erent versatile approaches. First, the Lie point symmetry approach was used to …

Symmetry Analysis and PT-Symmetric Extension of the Fifth-Order Korteweg-de Vries-Like Equation

G Wang, B Shen, M He, F Guan, L Zhang - Fractal and Fractional, 2022 - mdpi.com
In the present paper, PT-symmetric extension of the fifth-order Korteweg-de Vries-like
equation are investigated. Several special equations with PT symmetry are obtained by …

[HTML][HTML] Symmetries and conservation laws for a generalization of Kawahara equation

J Vašíček - Journal of Geometry and Physics, 2020 - Elsevier
We give a complete description of generalized and formal symmetries for a nonlinear
evolution equation which generalizes the Kawahara equation having important applications …

Lie Reductions and Exact Solutions of Generalized Kawahara Equations

O Vaneeva, O Magda, A Zhalij - International Workshop on Lie Theory and …, 2021 - Springer
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Equivalence groupoid and enhanced group classification of a class of generalized Kawahara equations

O Vaneeva, O Magda, A Zhalij - Lie Theory and Its Applications in Physics …, 2020 - Springer
Transformation properties of a class of generalized Kawahara equations with time-
dependent coefficients are studied. We construct the equivalence groupoid of the class and …

Класифікація ліївських редукцій узагальнених рівнянь Кавахари зі змінними коефіцієнтами

ОО Ванєєва, ОЮ Жалій, ОВ Магда - Доповіді НАН України, 2022 - dspace.nbuv.gov.ua
Клас узагальнених рівнянь Кавахари з коефіцієнтами, що залежать від часу, розглянуто
з симетрійної точки зору. Проведено класифікацію ліївських редукцій рівнянь з такого …