Bright and dark soliton solutions to the partial reverse space–time nonlocal Mel’nikov equation
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DOI: 10.1007/s11071-018-4482-9
Abstract: General bright and dark soliton solutions to the partial reverse space–time nonlocal Mel’nikov equation with parity–time symmetry are constructed by the Hirota bilinear method with KP hierarchy reduction method. These solutions of arbitrary order are… read more here.
Keywords: nonlocal mel; bright dark; mel nikov; nikov equation ... See more keywords
Hybrid solutions to Mel’nikov system
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DOI: 10.1007/s11071-018-4528-z
Abstract: Based on the KP hierarchy reduction technique, explicit two kinds of breather solutions to Mel’nikov system are constructed, one breather is localized in the x-direction and period in the y-direction, the other is the opposite,… read more here.
Keywords: dark soliton; nikov system; mel nikov; solutions mel ... See more keywords
Bright-Dark Mixed N-Soliton Solutions of the Multi-Component Mel'nikov System
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DOI: 10.7566/jpsj.86.104008
Abstract: By virtue of the Kadomtsev–Petviashvili (KP) hierarchy reduction technique, we construct the general bright-dark mixed N-soliton solution to the multi-component Mel’nikov system. This multi-component system comprised of multiple (say M) short-wave components and one long-wave… read more here.
Keywords: nikov system; system; mixed soliton; bright dark ... See more keywords