Complex PT-symmetric extensions of the non PT-symmetric Burgers equation
Authors
Yan Zhenya
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Year
2008
Title of Journal
Volume
77
Number
2
Page
1-6
Abstract
Abstract
We present two new families of complex -symmetric extensions of the non--symmetric Burgers equation using two different -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 -symmetric wave equations.
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Abstract
We present two new families of complex -symmetric extensions of the non--symmetric Burgers equation using two different -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 -symmetric wave equations.
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