General soliton and (semi‐)rational solutions to the nonlocal Mel'nikov equation on the periodic background

In this paper, the Hirota's bilinear method and Kadomtsev‐Petviashvili hierarchy reduction method are applied to construct soliton, line breather and (semi‐)rational solutions to the nonlocal Mel'nikov equation with nonzero boundary conditions. These solutions are expressed as N×N Gram‐typ...

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Veröffentlicht in:	Studies in applied mathematics (Cambridge) 2020-07, Vol.145 (1), p.97-136
Hauptverfasser:	Li, Ming, Fu, Heming, Wu, Chengfa
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Hirota's bilinear method KP hierarchy reduction method nonlocal Mel'nikov equation semi‐rational solution Solitary waves soliton
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