Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 72, Issue 6, Pages 1356-1359Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.72.1356
Keywords
periodic wave solutions; new Hamiltonian amplitude equation; the mapping method
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Exact solutions to a new Hamiltonian amplitude equation introduced by Wadati et al. are studied. Periodic wave solutions are obtained by means of the mapping method proposed recently by the author. Under limit conditions, exact solitary wave solution and shock wave solution are recovered, and triangular function periodic wave solutions and singular solitary wave solutions are picked up.
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