An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation

2010 ◽  
Vol 51 (3) ◽  
pp. 033504 ◽  
Author(s):  
Tao Xu ◽  
Bo Tian
Keyword(s):  
Wronskian Technique ◽  
Wronskian Solution

The Wronskian Solution and Soliton Resonance of the Nonisospectral Generalised Sawada–Kotera Equation

2015 ◽  
Vol 70 (4) ◽  
pp. 213-223 ◽  
Author(s):  
Jian Zhou ◽  
Xiang-Gui Li ◽  
Deng-Shan Wang
Keyword(s):  
Bilinear Form ◽  
Inhomogeneous Media ◽  
Wronskian Technique ◽  
Soliton Resonance ◽  
Wronskian Solution

AbstractThe bilinear form of the nonisospectral generalized Sawada–Kotera equation is derived. With the aid of the Wronskian technique, the Wronskian solution is presented for this equation. The soliton resonance is discussed in inhomogeneous media. Negatons and positons are also obtained.

The Generalized Wronskian Solution to a Negative KdV-mKdV Equation

2012 ◽  
Vol 29 (8) ◽  
pp. 080202 ◽  
Author(s):  
Yu-Qing Liu ◽  
Deng-Yuan Chen ◽  
Chao Hu
Keyword(s):  
Mkdv Equation ◽  
Wronskian Solution

scholarly journals Solitons for a (2+1)-dimensional Sawada–Kotera equation via the Wronskian technique

2017 ◽  
Vol 74 ◽  
pp. 193-198 ◽  
Author(s):  
Shu-Liang Jia ◽  
Yi-Tian Gao ◽  
Cui-Cui Ding ◽  
Gao-Fu Deng
Keyword(s):  
Wronskian Technique

scholarly journals Two Different Classes of Wronskian Conditions to a (3 + 1)-Dimensional Generalized Shallow Water Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Yaning Tang ◽  
Pengpeng Su
Keyword(s):  
Shallow Water ◽  
Shallow Water Equation ◽  
Sufficient Conditions ◽  
Wronskian Technique ◽  
Rational Solutions ◽  
Bilinear Method ◽  
Wronskian Determinant ◽  
Linear Partial Differential Equations ◽  
Hirota Bilinear Equation ◽  
Hirota Bilinear

Based on the Hirota bilinear method and Wronskian technique, two different classes of sufficient conditions consisting of linear partial differential equations system are presented, which guarantee that the Wronskian determinant is a solution to the corresponding Hirota bilinear equation of a (3+1)-dimensional generalized shallow water equation. Our results show that the nonlinear equation possesses rich and diverse exact solutions such as rational solutions, solitons, negatons, and positons.

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