Research On A Class Of Nonlinear Systems Arising From High-frequency Wave Motion In Relaxing Media

. Applying several symbolic computation algorithms which have been developed recently during latest decades, such as Hirota’ bilinear method,(G’/G)-expansion, Riccati mapping method, and auxiliary equation method, a class of nonlinear Vakhnenko systems with clear engineering application. The systems can better model the high-frequency wave motion in relaxing media. Some new solutions, namely, solitary wave solutions, multiple solitary wave solutions and excited wave solutions, are constructed. By setting.properly the parameters involved in the solutions, some novel traveling procedure and control are explored for the nonlinear systems for the solitary wave and multiple solitary waves of the systems.