BILINEARIZATION OF A GENERALIZED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION
BILINEARIZATION OF A GENERALIZED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION
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DOI：
10.1143/jpsj.64.1519
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发表时间：
1995-05-01
影响因子：
1.7
通讯作者：
SATSUMA, J
中科院分区：
文献类型：
--
作者：
KAKEI, S;SASA, N;SATSUMA, J
利用Hirota双线性形式研究了广义导数非线性薛定谔方程iq(t)+q(xx)+2i gamma\q\(2)q(x)+2i(gamma-1)q(2)q(x)(*)+(gamma-1)(gamma-2)\q\(4)q=0。孤子解被构造为朗斯基型行列式的商。还讨论了双线性结构和规范变换之间的关系。
A generalized derivative nonlinear Schrodinger equation, iq(t)+q(xx)+2i gamma\q\(2)q(x)+2i(gamma-1)q(2)q(x)(*)+(gamma-1)(gamma-2)\q\(4)q=0, is studied by means of Hirota's bilinear formalism. Soliton solutions are constructed as quotients of Wronski-type determinants. A relationship between the bilinear structure and gauge transformation is also discussed.