Representations and Classification of Traveling Wave Solutions to sinhGördon Equation
Abstract
Two concepts named atom solution and combinatory solution are defined. The classification of all single traveling wave atom solutions to sinhGördon equation is obtained, and qualitative properties of solutions are discussed. In particular, we point out that some qualitative properties derived intuitively from dynamic system method are not true. Finally, we prove that our solutions to sinhGördon equation include all solutions obtained in the paper [Z.T. Fu, et al., Commun. Theor. Phys. (Beijing, China) 45 (2006) 55]. Through an example, we show how to give some new identities on Jacobian elliptic functions.
 Publication:

Communications in Theoretical Physics
 Pub Date:
 January 2008
 DOI:
 10.1088/02536102/49/1/33
 arXiv:
 arXiv:0706.1673
 Bibcode:
 2008CoTPh..49..153L
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Nonlinear Sciences  Pattern Formation and Solitons
 EPrint:
 12 pages. accepted by Communications in theoretical physics (Beijing)