Title of article
Bنcklund Transformations and Solutions of Some Generalized Nonlinear Evolution Equations
Author/Authors
Shen، نويسنده , , Shoufeng and Jin، نويسنده , , Yongyang and Zhang، نويسنده , , Jun، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
25
From page
255
To page
279
Abstract
Using the method of separation of variables based on Bنcklund transformation, new classification results with exact solutions for various generalized nonlinear evolution equations such as the KdV-type equations, the NNV-type equations and the Schrِdinger-type equations are obtained. We also present a unified construction method for nonlinear evolution equations which admit separation of variable and the main tool is a class of generalized multidimensional binary Bell polynomials.
Keywords
nonlinear evolution equation , Bنcklund transformation , Bell polynomial , 02.30.Jr , 05.45.Yv , Coherent Structure , separation of variables , 02.30.Ik
Journal title
Reports on Mathematical Physics
Serial Year
2014
Journal title
Reports on Mathematical Physics
Record number
1990610
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