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- W2072396871 abstract "The N-soliton solution of a generalised Vakhnenko equation is found, where N is an arbitrary positive integer. The solution, which is obtained by using a blend of transformations of the independent variables and Hirota's method, is expressed in terms of a Moloney & Hodnett (1989) type decomposition. Different types of soliton are possible, namely loops, humps or cusps. Details of the different types of interactions between solitons, including resonant soliton interactions, are discussed in detail for the case N=2. A proof of the ‘N-soliton condition’ is given in the Appendix." @default.
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- W2072396871 date "2001-06-01" @default.
- W2072396871 modified "2023-09-25" @default.
- W2072396871 title "The N -soliton solution of a generalised Vakhnenko equation" @default.
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- W2072396871 doi "https://doi.org/10.1017/s0017089501000076" @default.
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