Journal
PHYSICS LETTERS A
Volume 318, Issue 1-2, Pages 93-101Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2003.07.027
Keywords
PC equation; solitary wave solution; lienard equation; critical point; homoclinic and heteroclinic orbit
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Feng [Phys. Lett. A 293 (2002) 50] obtained a kind of explicit exact solutions to the Lienard equation, and applied these results to find some explicit exact solitary wave solutions to the nonlinear Schrodinger equation and the Pochhammer-Chree equation. In this Letter, more explicit exact solitary wave solutions for the generalized Pochhammer-Chree equation are given by seeking qualitatively the homoclinic or heteroclinic orbits for this class of Lienard equation. Our results extended or improved the results in [Phys. Lett. A 293 (2002) 50; Acta Math. Appl. Sinica 21 (2) (1998) 249; Comput. Phys. Commun. 13 (1977) 149; Phys. Lett. A 196 (1995) 301; Stud. Appl. Math. 75 (1986) 95]. (C) 2003 Elsevier B.V. All rights reserved.
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