Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 73, Issue 5, Pages 1156-1158Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.73.1156
Keywords
exact solutions; new Hamiltonian amplitude equation; the extended mapping method
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The extended mapping method is proposed to obtain new exact solutions to a new Hamiltonian amplitude equation introduced by Wadati et al. [J. Phys. Sec. Jpn. 61 (1992) 1187]. The new periodic wave solutions are the linear combination of two Jacobi elliptic waves. Limit cases are studied, and new solitary wave solutions and triangular periodic wave solutions are got.
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