Results 11 to 20 of about 1,090 (181)
Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]
The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
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This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
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Optical solitons with Kudryashov’s sextic power-law nonlinearity
Objective - The main objective of this paper is to investigate analytic soliton solutions of a nonlinear Schrodinger equation (NLSE), including Kudryashov's sextic power-law nonlinearity by introducing different approaches of two efficient analytical methods. The considered equa-tion has been recently introduced by N. A.
Muslum Ozisik +3 more
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The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of ...
Hemonta Kumar Barman +6 more
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Previously it was shown that the use of regulatory peptides of the glyprolin family helps to normalize the hemostasis system and blood glucose levels in experimental resistant hyperglycemia in rats, similar to type 2 diabetes mellitus in humans.
T. Yu. Obergan +5 more
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Quiescent optical solitons with Kudryashov’s law of nonlinear refractive index
The present study reports quiescent optical solitons for Kudryashov’s proposed form of self-phase modulation with quintuple nonlinearity having two power-law parameters. The solitons were retrieved with the usage of enhanced Kudryashov’s algorithm.
Ahmed H. Arnous +5 more
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Exact solutions of the generalized nonlinear Fokas-Lennells equation
Two different schemes are applied to the generalized nonlinear Fokas-Lennells equation for obtaining possible optical solitonic solutions at general orders of nonlinearities. It is known that the standard Kudryashov method leads to singular combo optical
A. Ebaid +5 more
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Conformable Diferensiyel Denklemlerin Genelleştirilmiş Kudryashov Yöntemiyle Tam Çözümleri
Lineer olmayan conformable diferensiyel denklemler matematiksel fizikte önemli bir yere sahiptir. Bu denklemlerin tam çözümlerinin elde edilmesi, son yıllarda oldukça ilgi çeken bir çalışma alanı olarak karşımıza çıkmaktadır. Bu makalede, conformable üçüncü mertebeden modifiye KdV denklemi ve conformable Boussinesq denkleminin tam çözümleri ...
Arzu Akbulut, Melike Kaplan
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New exact solitary wave solutions for the extended (3 + 1)-dimensional Jimbo-Miwa equations
In this manuscript, new solitary wave solutions for the newly introduced extended (3 + 1)-dimensional Jimbo-Miwa equations (the first and second) by Wazwaz (2017) are presented alongside the classical equation solution for comparison.
Khalid K. Ali +2 more
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Optical solitons for Biswas–Milovic equation using the new Kudryashov’s scheme
Purpose: This study aims to examine the optical soliton solutions of the nonlinear Schrodinger form of the (2+1)-Biswas-Milovic equation with Kerr, power and parabolic law nonlinearity. Methodology: Our method steps are as follows; we have obtained the nonlinear ordinary differential equation (NODE) and constraint relations for each Kerr, power and ...
Selvi Altun +3 more
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