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Z. Naturforsch. 67a, 545 – 549
(2012)
doi:10.5560/ZNA.2012-0060
A Variety of Exact Periodic Wave and Solitary Wave Solutions for the Coupled Higgs Equation
1 Radiation Physics Laboratory, Department of Physics, Faculty of Sciences Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria
2 Department of Mathematics, Saint Xavier University, Chicago, IL 60655
Received April 2, 2012 / published online August 20, 2012
Reprint requests to: A.-M. W.; E-mail:
wazwaz@sxu.edu
In this work, the coupled Higgs field equation is studied. The extended Jacobi elliptic function expansion methods are efficiently employed to construct the exact periodic solutions of this model. As a result, many exact travelling wave solutions are obtained which include new shock wave solutions or kink-shaped soliton solutions, solitary wave solutions or bell-shaped soliton solutions, and combined solitary wave solutions are formally obtained.
Key words: Coupled Higgs Field Equation; Jacobi Elliptic Function Method; Solitary Wave Solutions.