Multi-wave, breather and interaction solutions to (3+ 1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing …
Y Sağlam Özkan, AR Seadawy… - Journal of Taibah …, 2021 - Taylor & Francis
In this study, based on the Hirota bilinear form, the exact analytic solutions of the (3+ 1)
dimensional Vakhnenko–Parkes equation with various physical properties were constructed …
dimensional Vakhnenko–Parkes equation with various physical properties were constructed …
A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
VO Vakhnenko, EJ Parkes, AJ Morrison - Chaos, Solitons & Fractals, 2003 - Elsevier
A Bäcklund transformation both in bilinear and in ordinary form for the transformed
generalised Vakhnenko equation (GVE) is derived. It is shown that the equation has an …
generalised Vakhnenko equation (GVE) is derived. It is shown that the equation has an …
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 …
Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model
Fractional differential equations are being used to define numerous physical phenomena
instead of conventional ordinary or partial differential equations. The secret is to get more …
instead of conventional ordinary or partial differential equations. The secret is to get more …
Internal solitons in the ocean
JR Apel, LA Ostrovsky, YA Stepanyants - The Journal of the Acoustical …, 1995 - pubs.aip.org
The well-known Garrett and Munk description of the internal wave spectrum synthesizes
many observations into a spectral model that reproduces the general features of the mid …
many observations into a spectral model that reproduces the general features of the mid …
The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method
VO Vakhnenko, EJ Parkes - Chaos, Solitons & Fractals, 2002 - Elsevier
A Bäcklund transformation both in bilinear form and in ordinary form for the transformed
Vakhnenko equation is derived. An inverse scattering problem is formulated. The inverse …
Vakhnenko equation is derived. An inverse scattering problem is formulated. The inverse …
Internal solitons in laboratory experiments: Comparison with theoretical models
LA Ostrovsky, YA Stepanyants - Chaos: An Interdisciplinary Journal of …, 2005 - pubs.aip.org
Nonlinear internal solitary waves observed in laboratory experiments are discussed from the
standpoint of their relation to different soliton theories, from the classical integrable models …
standpoint of their relation to different soliton theories, from the classical integrable models …
[HTML][HTML] The N-loop soliton solutions for (2+ 1)-dimensional Vakhnenko equation
Abstract A (2+ 1)-dimensional Vakhnenko equation is investigated, which describes high-
frequent wave propagations in relaxing medium. The N-loop soliton solutions for the …
frequent wave propagations in relaxing medium. The N-loop soliton solutions for the …
On stationary solutions of the reduced Ostrovsky equation: Periodic waves, compactons and compound solitons
YA Stepanyants - Chaos, Solitons & Fractals, 2006 - Elsevier
Detailed analysis of solitary and periodic stationary solutions of the reduced Ostrovsky
equation is presented. The full Ostrovsky equation (ut+ c0ux+ αuux+ βuxxx) x= γu was …
equation is presented. The full Ostrovsky equation (ut+ c0ux+ αuux+ βuxxx) x= γu was …
Extraction of the gravitational potential and high‐frequency wave perturbation properties of nonlinear (3+ 1)‐dimensional Vakhnenko–Parkes equation via novel …
L Yan, H Mehmet Baskonus… - … Methods in the …, 2024 - Wiley Online Library
The (3+ 1)‐dimensional Vakhnenko–Parkes mathematical model has a wide range of
applications in science and engineering. In this paper, the model studied is investigated and …
applications in science and engineering. In this paper, the model studied is investigated and …