Results 21 to 30 of about 6,221 (189)

Closed-form solutions and conservation laws of a generalized Hirota–Satsuma coupled KdV system of fluid mechanics

Open Physics, 2021
In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations.
Khalique Chaudry Masood
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The Influence of Multiplicative Noise and Fractional Derivative on the Solutions of the Stochastic Fractional Hirota–Maccari System

Axioms, 2022
We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar, Wael W. Mohammed, Clemente Cesarano, M. El-Morshedy   +3 more
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Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system

Results in Physics, 2023
In this paper, we investigate the (2+1)-dimensional Hirota system of equations, which is essential for modeling physical events since it contains the NLS equation and the cmKdV equation. We apply the Jacobi elliptic function method to obtain new results.
Gaukhar Shaikhova, Bayan Kutum, Arailym Syzdykova   +2 more
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Generalized solitary wave solutions to the time fractional generalized Hirota-Satsuma coupled KdV via new definition for wave transformation

Journal of Ocean Engineering and Science, 2019
In this paper, the (G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV (FGHSC KdV) system.
Hadi Rezazadeh, Aly R. Seadawy, Mostafa Eslami, Mohammad Mirzazadeh   +3 more
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New exact travelling solutions of the generalized Hirota equation

Partial Differential Equations in Applied Mathematics, 2021
In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
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On soliton solutions of the Wu-Zhang system

Open Physics, 2016
In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa, Kilic Bulent, Karatas Esra, Mohamed Al Qurashi Maysaa’, Baleanu Dumitru, Tchier Fairouz   +5 more
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Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation

Journal of Ocean Engineering and Science, 2022
The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via two modified integration methods. Those methods are known as the improved (G′/G)-expansion method and the Kudryashov method. This model is a generalized version
Asim Zafar, M. Raheel, M. Asif, Kamyar Hosseini, Mohammad Mirzazadeh, Lanre Akinyemi   +5 more
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Dynamical behaviors, chaotic pattern and multiple optical solitons for coupled stochastic Schrödinger–Hirota system in magneto-optic waveguides with multiplicative white noise via Itô calculus

Results in Physics
The primary focus of this study was on exploring the optical soliton solutions and chaotic patterns in magneto-optic waveguides through the coupled stochastic Schrödinger–Hirota equation with multiplicative white noise.
Tianxiu Lu, Lu Tang, Yuanlin Chen, Caiwen Chen   +3 more
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Solitone solutions complexifications of the Korteweg - de Vriz equation

Наука. Инновации. Технологии, 2022
The Hirota method for construction of soliton solutions is applied to the complexification of the Korteweg-de Vries equation. To use the method, the complex equation is replaced by a system of two third-order equations into two real functions, which ...
Tatyana Valentinovna Redkina
doaj  

EXACT SOLUTIONS OF THE HIROTA EQUATION USING THE SINE-COSINE METHOD

Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2021
Nonlinear partial differential equations of mathematical physics are considered to be major subjects in physics. The study of exact solutions for nonlinear partial differential equations plays an important role in many phenomena in physics. Many effective and viable methods for finding accurate solutions have been established.
G.N. Shaikhova, Y.S. Kalykbay
openaire   +2 more sources