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A note on “On explicit exact solutions for the Liénard equation and its applications”. (English) Zbl 1098.35563
Summary: Feng $\left[$Phys. Lett. A 293 (2002) 50$\right]$ 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 $\left[$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$\right]$.
##### MSC:
 35Q55 NLS-like (nonlinear Schrödinger) equations