Results 41 to 50 of about 7,864 (230)
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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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
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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 +5 more
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Nonlocal modified KdV equations and their soliton solutions by Hirota Method [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Metin Gürses, Asli Pekcan
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Results in PhysicsThe 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 +3 more
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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 +5 more
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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
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The Multi-Soliton Solutions to The KdV Equation by Hirota Method [PDF]
, 2014 The Hirota bilinear method is used to solve the KdV model.
MA, Lixin
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Results in Physics, 2019 This paper investigates the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity via the Unified Method. New nonautonomous optical wave solutions are obtained in polynomial function solutions type.
M.S. Osman +2 more
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The Tanh Methods for the Hirota Equations
International Journal of Computer Applications, 2014 paper we applied the tanh method for analytic study of the nonlinear equations of partial differential equations(PDEs).The proposed method gives more general exact traveling wave solutions without much extra effort. Three applications from literature of nonlinear equation of PDEs were solved by the method. The calculations demonstrate the effectiveness
Zain F. Abu Shaeer, Kamal Raslan
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