Kudryashov’s law - Open Access .click

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Genişletilmiş (2+1)-boyutlu kadomtsev–petviashvili denkleminin soliton çözümlerinin araştırılması [PDF]

This article presents an investigation for soliton solutions of the extended (2+1)-dimensional Kadomtsev–Petviashvili equation which describes wave behavior in shallow water. We utilize the unified Riccati equation expansion method.
Çınar, Melih
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Optical soliton solutions of the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity

Ain Shams Engineering Journal
This article investigates optical soliton solutions within the stochastic resonant nonlinear Schrödinger equation (SRNLSE). This equation incorporates both spatio-temporal dispersion (STD) and inter-modal dispersion (IMD), along with multiplicative white
Nafissa T. Trouba +3 more
doaj +1 more source

Solitary waves of the generalized Zakharov equations via integration algorithms [PDF]

In many applications, the investigation of traveling wave solutions is essential in obtaining an accurate description of the dynamical behavior of most physical phenomena.
Hammad Alotaibi
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The new soliton solution types to the Myrzakulov-Lakshmanan-XXXII-equation [PDF]

Our attention concenters on deriving diverse forms of the soliton arising from the Myrzakulov-Lakshmanan XXXII (M-XXXII) that describes the generalized Heisenberg ferromagnetic equation.
Ahmet Bekir +3 more
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Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method

Ain Shams Engineering Journal
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic ...
Islam Samir +3 more
doaj +1 more source

Analytic Solutions and Conservation Laws of a 2D Generalized Fifth-Order KdV Equation with Power Law Nonlinearity Describing Motions in Shallow Water Under a Gravity Field of Long Waves

AppliedMath
The Korteweg–de Vries (KdV) equation is a nonlinear evolution equation that reflects a wide variety of dispersive wave occurrences with limited amplitude.
Chaudry Masood Khalique, Boikanyo Pretty Sebogodi +1 more
doaj +1 more source

New chirp free and chirped form optical solitons to the non linear schrödinger equation [PDF]

We are concerned with new form optical solitons to the non-linear Schrödinger equation (NLSE) by generalized anti-cubic non-linearity. Some new optical solitons containing dark, singular and periodic solitons in chirp-free and chirped form are ...
Akınlar, Mehmet Ali +4 more
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Novel optical soliton solutions for the generalized integrable (2+1)- dimensional nonlinear Schrödinger system with conformable derivative [PDF]

For the generalized integrable (2+1)-dimensional nonlinear Schrödinger system, new and creative analytical solutions were derived using a novel extended direct algebraic method incorporating conformable derivatives, which could be expressed in terms of ...
Aditi Sharma +5 more
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Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation [PDF]

The current study looks at two different nonlinear Schrödinger equations. These equations have several applications in science and engineering, such as nonlinear fiber optics, electromagnetic field waves, and signal processing via optical fibers. In this
Alshomrani, Ali S. +3 more
core +1 more source

Dynamics of diverse nonlinear water waves to a fifth-order nonlinear soliton model [PDF]

The objective of this study is to examine the dynamic behavior of the fifth-order nonlinear equation(FONLE) and its practical application in the field of applied mathematics.
Shakeel, Muhammad
core +2 more sources

solitons
kudryashov