Do nonsingular globally bounded positon solutions exist?

1997 ◽  
Vol 85 (1) ◽  
pp. 1578-1585
Author(s):  
Roland Beutler ◽  
Vladimir B. Matveev
Keyword(s):  
Positon Solutions

Negaton and positon solutions of the KdV and mKdV hierarchy

1996 ◽  
Vol 29 (8) ◽  
pp. 1803-1823 ◽  
Author(s):  
C Rasinariu ◽  
U Sukhatme ◽  
Avinash Khare
Keyword(s):  
Positon Solutions ◽  
Mkdv Hierarchy

scholarly journals New Exact Solutions for the (3+1)-Dimensional Generalized BKP Equation

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Jun Su ◽  
Genjiu Xu
Keyword(s):  
Exact Solutions ◽  
Evolution Equations ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
Wronskian Technique ◽  
Rational Solutions ◽  
Wronskian Determinant ◽  
New Exact Solutions ◽  
Positon Solutions ◽  
Bkp Equation

The Wronskian technique is used to investigate a (3+1)-dimensional generalized BKP equation. Based on Hirota’s bilinear form, new exact solutions including rational solutions, soliton solutions, positon solutions, negaton solutions, and their interaction solutions are formally derived. Moreover we analyze the strangely mechanical behavior of the Wronskian determinant solutions. The study of these solutions will enrich the variety of the dynamics of the nonlinear evolution equations.

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