Demonstration of Inverse Scattering Transform in G-L-M Formalismfor NLS Equation in Normal Dispersion with Non-vanishing Boundary |
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| Authors: | YANG Chun-Nuan HE Jin-Chun HUANG Nian-Ning |
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| Affiliation: | Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China;Department of Physics, Wuhan University, Wuhan 430072, China |
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| Abstract: | Using the integral representation of the Jostsolution, we deduce some conditions as the kernel function N(x, y,t) if the Jost solution satisfies the two Lax equations. Then weverify the multi-soliton solution of NLS equation withnon-vanishing boundary conditions if we prove that these conditionscan be demonstrated by the GLM equation, which determines the kernelfunction N(x,y,t) in according to the inverse scattering method. |
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| Keywords: | NLS+ equation inverse scattering method Gel'fand-Levitan-Marchenko equation |
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