Results 41 to 50 of about 11,036,750 (211)
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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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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Journal of Ocean Engineering and Science, 2019 In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt +6 more
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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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Non classical interaction aspects to a nonlinear physical model
Results in Physics, 2023 This study deals the dynamics of waves to the conformable fractional (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) equations. The (2+1)-dimensional NNV equations are the isotropic Lax integrable extension of the (1+1)-dimensional Korteweg–de Vries ...
Hajar F. Ismael +5 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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High-order soliton solutions and their dynamics in the inhomogeneous variable coefficients Hirota equation [PDF]
, 2022 A series of new soliton solutions are presented for the inhomogeneous variable coefficient Hirota equation by using the Riemann Hilbert method and transformation relationship.
Zhou, Huijuan, Chen, Yong
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Propulsion and Power Research, 2018 In this article, the two variable (G′/G,1/G)-expansion method is suggested to investigate new and further general multiple exact wave solutions to the Drinfeld-Sokolov-Satsuma-Hirota (DSSH) equation and the shallow water wave equation which arise in ...
H.M.Shahadat Ali +2 more
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New interaction solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation
Results in Physics, 2022 This study aims to determine novel analytical lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation through conducting symbolic computations using the Hirota direct method.
Fei Long +4 more
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Autism Research, EarlyView.ABSTRACT Autism spectrum disorder (ASD) is a neurodevelopmental disorder characterized by altered synaptic connectivity and network organization, resulting in profound impairments in social communication and interaction. Transcranial direct current stimulation (tDCS) represents a promising approach to modulate maladaptive plasticity associated with ASD;
Antonia Ramme +9 more
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