Results 31 to 40 of about 1,529 (58)
Controlling pulse propagation in optical fibers through nonlinearity and dispersion management
, 2006 In case of the nonlinear Schr\"odinger equation with designed group velocity dispersion, variable nonlinearity and gain/loss; we analytically demonstrate the phenomenon of chirp reversal crucial for pulse reproduction.
A. Hasegawa +12 more
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Extended Camassa-Holm Hierarchy and Conserved Quantities [PDF]
, 2006 An extension of the Camassa-Holm hierarchy is constructed in this letter. The conserved quantities of the hierarchy are studied and a recurrent formula for the integrals of motion is derived.Comment: 13 ...
Ivanov, Rossen I.
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Solitary wave solutions of two KdV-type equations
Open Physics, 2018 The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
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An Exactly Solvable Case for a Thin Elastic Rod [PDF]
, 2006 We present a new exact solution for the twist of an asymmetric thin elastic rods. The shape of such rods is described by the static Kirchhoff equations.
Dandoloff, Rossen, Grahovski, Georgi G.
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A supersymmetric Sawada-Kotera equation
, 2008 A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved quantities and a recursion operator.Comment: 9 pages, replaced with the ...
Aiyer +18 more
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Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics
Open Physics, 2019 The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these ...
Rani Attia +6 more
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Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation
Open Physics, 2015 Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard ...
Ren Bo
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Skyrmion crystals in the pseudo-spin-1/2 Bose-Einstein condensates
, 2013 Exact two-dimensional solutions are constructed for the pseudo-spin-1/2 Bose-Einstein condensates which are described by the coupled nonlinear Gross-Pitaevskii equations where the intraspecies and interspecies coupling constants are assumed to be equal ...
Feng, Shiping +3 more
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Unification of all hyperbolic tangent function methods
Open Physics, 2016 Over the last twenty years, several “different” hyperbolic tangent function methods have been proposed to search solutions for nonlinear partial differential equations (NPDEs).
Gözükızıl Ömer Faruk +2 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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