Results 171 to 180 of about 40,499 (216)

N-soliton and quasi-periodic solutions of the KdV6 equations

Applied Mathematics and Computation, 2012
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Geng, Xianguo, Xue, Bo
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N-Soliton Solutions for Nonlocal Lattice Equations

Journal of the Physical Society of Japan, 1999
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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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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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New N-soliton solutions for the sawada-kotera equation

Journal of Shanghai University (English Edition), 2004
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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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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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A possible N soliton solution for a nonlinear optics equation

Journal of Physics A: General Physics, 1972
The authors suggest a possible N soliton solution for an equation of nonlinear optics (and hence, by a transformation, for the sine-Gordon equation).
J D Gibbon, J C Eilbeck
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The N-soliton solutions for the non-isospectral mKdV equation

Physica A: Statistical Mechanics and its Applications, 2004
The bilinear form of the non-isospectral mKdV equation is given and the exact N -soliton solutions are obtained through Hirota method and Wronskian technique, respectively ...
Yi Zhang, Shu-fang Deng, Da-jun Zhang, Deng-yuan Chen   +3 more
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N-soliton solutions of a system of coupled KdV equations

Physics Letters A, 1994
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