We present two new families of complex PT-symmetric extensions of the non-PT-symmetric Burgers equation using two different 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 PT-symmetric wave equations.
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[yan, zhenya] chinese acad sci, inst syst sci, amss, key lab math mechanizat, beijing 100080, peoples r china. [yan, zhenya] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china.;yan, zy (reprint author), chinese acad sci, inst syst sci, amss, key lab math mechanizat, beijing 100080, peoples r china;zyyanmath@yahoo.com
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