Results 31 to 40 of about 47,209 (207)
Building Abelian Functions with Generalised Baker-Hirota Operators [PDF]
, 2012 We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and Hirota.
Athorne, Chris, England, Matthew
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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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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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On Kernel Formulas and Dispersionless Hirota Equations
, 2006 We rederive dispersionless Hirota equations of the dispersionless Toda hierarchy from the method of kernel formula provided by Carroll and Kodama. We then apply the method to derive dispersionless Hirota equations of the extended dispersionless BKP(EdBKP)
Braden H. W. +3 more
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Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations [PDF]
, 2001 We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general $N$-coupled nonlinear Schroedinger equations (N ...
A. Ankiewicz +24 more
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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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Vector shock soliton and the Hirota bilinear method [PDF]
Chaos, Solitons & Fractals, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pashaev, Oktay, Tanoğlu, Gamze
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On deformations of the dispersionless Hirota equation
, 2017 The hyper-CR Einstein-Weyl structures on $\R^3$ can be described in terms of the solutions to the dispersionless Hirota equation. In the present paper we show that simple geometric constructions on the associated twistor space lead to deformations of the
Krynski, Wojciech
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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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