Results 71 to 80 of about 49,111 (193)
New Journal of Physics, 2015 The nonlinear Dirac equation for Bose–Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions.
L H Haddad, Lincoln D Carr
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Trigonal curves and algebro-geometric solutions to soliton hierarchies
, 2016 Using linear combinations of Lax matrices of soliton hierarchies, we introduce trigonal curves by their characteristic equations, and determine Dubrovin type equations for zeros and poles of meromorphic functions defined as ratios of the Baker-Akhiezer ...
Ma, Wen-Xiu
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Elliptic solitons and Heun’s equation [PDF]
, 2002 We find a new class of algebraic geometric solutions of Heun's equation with the accessory parameter belonging to a hyperelliptic curve. Dependence of these solutions from the accessory parameter as well as their relation to Heun's polynomials is studied.
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Journal of Advanced Research, 2020 In this paper, a system with controllable parameters for describing the evolution of polarization modes in nonlinear fibers is studied. Using the Horita’s method, the coupled nonlinear Schrödinger equations are transformed into the bilinear equations ...
Xiaoyan Liu +4 more
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, 2009 In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity model. The optimal velocity model, defined by a differential equation, is one
A. Schadschneider +9 more
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, 2007 Universal bi-Hamiltonian hierarchies of group-invariant (multicomponent) soliton equations are derived from non-stretching geometric curve flows $\map(t,x)$ in Riemannian symmetric spaces $M=G/H$, including compact semisimple Lie groups $M=K$ for $G=K ...
Anco +33 more
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Interaction of Charged 3D Soliton with Coulomb Center
, 1996 The Einstein - de Broglie particle-soliton concept is applied to simulate stationary states of an electron in a hydrogen atom. According to this concept, the electron is described by the localized regular solutions to some nonlinear equations.
Adkins +30 more
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Solitons in the chiral equation [PDF]
Communications in Mathematical Physics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Unification of integrable q-difference equations
Electronic Journal of Differential Equations, 2015 This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj
Soliton Fay identities. I. Dark soliton case
, 2014 We derive a set of bilinear identities for the determinants of the matrices that have been used to construct the dark soliton solutions for various models.
Vekslerchik, V. E.
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