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Paper Code  
Title   Complex PT-symmetric extensions of the non PT-symmetric Burgers equation
Authors   Yan Zhenya
Corresponding Author  
Year   2008
Title of Journal  
Volume   77
Number   2
Page   1-6
Abstract  
 
 

Abstract

We present two new families of complex {\cal PT}-symmetric extensions of the non-{\cal PT}-symmetric Burgers equation using two different {\cal PT}-symmetric extension principles. Many representative nonlinear wave equations are investigated. Some exact solutions and conservation laws are obtained which contain solitary wave solutions, compacton solutions, rational solutions and peakon solutions, etc. Moreover, we also present some higher-dimensional complex nonlinear {\cal PT}-symmetric wave equations.

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Abstract

We present two new families of complex {\cal PT}-symmetric extensions of the non-{\cal PT}-symmetric Burgers equation using two different {\cal PT}-symmetric extension principles. Many representative nonlinear wave equations are investigated. Some exact solutions and conservation laws are obtained which contain solitary wave solutions, compacton solutions, rational solutions and peakon solutions, etc. Moreover, we also present some higher-dimensional complex nonlinear {\cal PT}-symmetric wave equations.

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