Abstract

Feng [Phys. Lett. A 293 (2002) 50] obtained a kind of explicit exact solutions to the Liénard equation, and applied these results to find some explicit exact solitary wave solutions to the nonlinear Schrödinger 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 Liénard 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].

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