Results 211 to 220 of about 173,152 (254)

N-soliton solutions and double Wronskian solution of the non-isospectral AKNS equation

Chaos, Solitons & Fractals, 2005
The authors present the \(N\)-soliton solutions and the double Wronskian solution of the non-isospectral AKNS equation through the Hirota method and the Wronskian technique, respectively. Further, the non-isospectral Schrödinger equation and its multi-solutions are obtained by reduction.
Sun, Yepeng, Bi, Jinbo, Chen, Dengyuan
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Toda-type cellular automaton and its N-soliton solution

Physics Letters A, 1997
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Matsukidaira, J., Satsuma, J., Takahashi, D., Tokihiro, T., Torii, M.   +4 more
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N-soliton solutions of a system of coupled KdV equations

Physics Letters A, 1994
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New N-soliton solutions for the sawada-kotera equation

Journal of Shanghai University (English Edition), 2004
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N-soliton solutions of the KP equation by Exp-function method

Applied Mathematics and Computation, 2012
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The interaction processes of the N-soliton solutions for an extended generalization of Vakhnenko equation

Applied Mathematics and Computation, 2010
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Bangqing Li, Yulan Ma, Jianzhi Sun
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Difference equations for N-solitons solutions to KdV

Physics Letters A, 1988
Abstract Using a newly-developed method, it is shown that the N -soliton solutions to the Korteweg-de Vries equation satisfy high-order difference equations in the spectral parameter. These equations are exhibited explicitly.
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On restricted N-soliton solutions of the nonlinear Schrödinger equation

Theoretical and Mathematical Physics, 1987
A study is made of the many-soliton component of the solutions of the nonlinear Schroedinger equation that are obtained from the N-soliton (in particular, one-soliton) solutions by restricting the support (with respect to x) of the initial (at t = O) function to an arbitrary finite or semi-infinite interval.
V. A. Vysloukh, I. V. Cherednik
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N-soliton solutions for the sine-Hilbert equation

Physics Letters A, 1986
Abstract An exact method for constructing soliton solutions of the sine-Hilbert (sH) equation is developed. It is shown that the sH equation can be transformed into a system of nonlinear ordinary differential equations. By linearizing this system of equations, explicit multi-soliton solutions of the sH equation are presented.
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N-Soliton Solution of Isotropic Heisenberg Equation

Journal of the Physical Society of Japan, 1984
Using the Wadati Transformation which connects inverse scattering schemes of isotropic Heisenberg equation and a new integrable nonlinear evolution equation, N -soliton solution of isotropic Heisenberg equation is obtained. The relation between soliton solutions of both equations is also clarified.
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