Inverse Scattering Method for the Nonlinear Evolution Equations under Nonvanishing Conditions
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概要
- 論文の詳細を見る
An extended inverse scattering method is developed to solve the nonlinearevolution equations which are based on the AKNS eigenvalue problem withnonvanishing potentials q(x) and r(x) where y(,v)r(,v)-+2.3(>.0) as ,ve.[oo. Asan example, we solved the case of nonlinear Schr6dinger equation, iq,-f-q..2(m?q?' -29)q=O (m= -l, $1), under the nonvanishing boundary conditions,q(x,t)-+q" as x ->.[co, where q" are constants. For m=] we get the"envelopedark soliton," while for m= - l there appears a new solution as the extended formof the "envelope bright soliton."
- 社団法人日本物理学会の論文
- 1978-05-15
著者
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Kawata Tutomu
Department Of Electronic Engineering Faculty Of Engineering Toyama University
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Inoue Hiroshi
Departmcnt Of Biology Faculty Of Science Kyushu University:(present)department Of Biology Kyushu Den
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Inoue Hiroshi
Deparment of Neurosurgery, Gunma University School of Medicine and Gamma Unit Center, Hidaka Hospital
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