A generalized nonlinear fifth-order KdV-type equation with multiple soliton solutions: Painlevé analysis and Hirota Bilinear technique
In present work, we formulate a new generalized nonlinear KdV-type equation of fifth-order
using the recursion operator. This equation generalizes the Sawada-Kotera equation and …
using the recursion operator. This equation generalizes the Sawada-Kotera equation and …
Approach in Theory of Nonlinear Evolution Equations: The Vakhnenko‐Parkes Equation
VO Vakhnenko, EJ Parkes - Advances in Mathematical Physics, 2016 - Wiley Online Library
A variety of methods for examining the properties and solutions of nonlinear evolution
equations are explored by using the Vakhnenko equation (VE) as an example. The VE …
equations are explored by using the Vakhnenko equation (VE) as an example. The VE …
Dynamical behavior of traveling wave solutions for a (2+ 1)-dimensional Bogoyavlenskii coupled system
TD Leta, W Liu, AE Achab, H Rezazadeh… - Qualitative theory of …, 2021 - Springer
In this paper, we applied some computational tools, namely the modified extended tanh
method via a Riccati equation, the general Exp _ a a-function method and the bifurcation …
method via a Riccati equation, the general Exp _ a a-function method and the bifurcation …
Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(−ϕ(ξ))-expansion method
In this paper, we have described two dreadfully important methods to solve nonlinear partial
differential equations which are known as exp-function and the exp (− ϕ (ξ))-expansion …
differential equations which are known as exp-function and the exp (− ϕ (ξ))-expansion …
The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
AB de Monvel, D Shepelsky - Journal of Physics A: Mathematical …, 2014 - iopscience.iop.org
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Application of the ITEM for solving three nonlinear evolution equations arising in fluid mechanics
CT Sendi, J Manafian, H Mobasseri, M Mirzazadeh… - Nonlinear …, 2019 - Springer
In this paper, by introducing new approach, the improved\tan\left (ϕ (ξ)/2\right) tan ϕ (ξ)/2-
expansion method (ITEM) is further extended into the Vakhnenko–Parkes (VP) equation, the …
expansion method (ITEM) is further extended into the Vakhnenko–Parkes (VP) equation, the …
Integrability of the modified generalised Vakhnenko equation
Y Wang, Y Chen - Journal of mathematical physics, 2012 - pubs.aip.org
Integrability of the modified generalised Vakhnenko equation is investigated systematically.
Based on binary Bell polynomials, its bilinear representation, N soliton solutions, bilinear …
Based on binary Bell polynomials, its bilinear representation, N soliton solutions, bilinear …
[HTML][HTML] New coherent structures of the Vakhnenko–Parkes equation
Y Ye, J Song, S Shen, Y Di - Results in Physics, 2012 - Elsevier
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[PDF][PDF] Dynamical behavior of traveling waves in a generalized VP-mVP equation with non-homogeneous power law nonlinearity
F Fan, X Chen - AIMS Math., 2023 - aimspress.com
In this paper, we investigate the dynamical behavior of traveling waves for a generalized
Vakhnenko-Parkes-modified Vakhnenko-Parkes (VP-mVP) equation with non …
Vakhnenko-Parkes-modified Vakhnenko-Parkes (VP-mVP) equation with non …
Four-component integrable systems inspired by the Toda and the Davydov–Kyslukha models
OO Vakhnenko - Wave Motion, 2019 - Elsevier
Two types of general nonlinear integrable systems on infinite quasi-one-dimensional regular
lattices are proposed. In accordance with the Mikhailov reduction group theory both general …
lattices are proposed. In accordance with the Mikhailov reduction group theory both general …