New super waveforms for modified Korteweg-de-Veries-equation

H. G. Abdelwahed; E. K. El-Shewy; Mahmoud A.E. Abdelrahman; R. Sabry

doi:10.1016/j.rinp.2020.103420

New super waveforms for modified Korteweg-de-Veries-equation

H. G. Abdelwahed, E. K. El-Shewy, Mahmoud A.E. Abdelrahman, R. Sabry

Physics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

The existences of new important supersolitary and periodic solutions are obtained using the expansion method of Jacobian elliptic function (EMJEF) for the MKdV equation. This equation can be describe the critical case for vanishing the nonlinearity of the well-known KdV equation. This robust method is appropriate for production of new super waves which can confirm the new super pulse observations. It is established that some new solitary waves as periodic, solitons, shock, cnoidal, soliton-shock like, supersoliton and localized soliton waves are obtained. Also, these new forms which may be applicable in fluids and physics applications dependence on the system and Jacobian parameters.

Original language	English
Article number	103420
Journal	Results in Physics
Volume	19
DOIs	https://doi.org/10.1016/j.rinp.2020.103420
State	Published - Dec 2020

Keywords

Elliptic functions
Exact forms
New applications in physics
Soliton-like
Super-solitons
Unified solver

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10.1016/j.rinp.2020.103420

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title = "New super waveforms for modified Korteweg-de-Veries-equation",

abstract = "The existences of new important supersolitary and periodic solutions are obtained using the expansion method of Jacobian elliptic function (EMJEF) for the MKdV equation. This equation can be describe the critical case for vanishing the nonlinearity of the well-known KdV equation. This robust method is appropriate for production of new super waves which can confirm the new super pulse observations. It is established that some new solitary waves as periodic, solitons, shock, cnoidal, soliton-shock like, supersoliton and localized soliton waves are obtained. Also, these new forms which may be applicable in fluids and physics applications dependence on the system and Jacobian parameters.",

keywords = "Elliptic functions, Exact forms, New applications in physics, Soliton-like, Super-solitons, Unified solver",

author = "Abdelwahed, \{H. G.\} and El-Shewy, \{E. K.\} and Abdelrahman, \{Mahmoud A.E.\} and R. Sabry",

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journal = "Results in Physics",

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AU - Abdelwahed, H. G.

AU - El-Shewy, E. K.

AU - Abdelrahman, Mahmoud A.E.

AU - Sabry, R.

PY - 2020/12

Y1 - 2020/12

N2 - The existences of new important supersolitary and periodic solutions are obtained using the expansion method of Jacobian elliptic function (EMJEF) for the MKdV equation. This equation can be describe the critical case for vanishing the nonlinearity of the well-known KdV equation. This robust method is appropriate for production of new super waves which can confirm the new super pulse observations. It is established that some new solitary waves as periodic, solitons, shock, cnoidal, soliton-shock like, supersoliton and localized soliton waves are obtained. Also, these new forms which may be applicable in fluids and physics applications dependence on the system and Jacobian parameters.

AB - The existences of new important supersolitary and periodic solutions are obtained using the expansion method of Jacobian elliptic function (EMJEF) for the MKdV equation. This equation can be describe the critical case for vanishing the nonlinearity of the well-known KdV equation. This robust method is appropriate for production of new super waves which can confirm the new super pulse observations. It is established that some new solitary waves as periodic, solitons, shock, cnoidal, soliton-shock like, supersoliton and localized soliton waves are obtained. Also, these new forms which may be applicable in fluids and physics applications dependence on the system and Jacobian parameters.

KW - Elliptic functions

KW - Exact forms

KW - New applications in physics

KW - Soliton-like

KW - Super-solitons

KW - Unified solver

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VL - 19

JO - Results in Physics

JF - Results in Physics

M1 - 103420

ER -

New super waveforms for modified Korteweg-de-Veries-equation

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Keywords

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