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- W3134039683 abstract "Abstract We analyze N -soliton solutions and explore the Hirota N -soliton conditions for scalar (1 + 1)-dimensional equations, within the Hirota bilinear formulation. An algorithm to verify the Hirota conditions is proposed by factoring out common factors out of the Hirota function in N wave vectors and comparing degrees of the involved polynomials containing the common factors. Applications to a class of generalized KdV equations and a class of generalized higher-order KdV equations are made, together with all proofs of the existence of N -soliton solutions to all equations in two classes." @default.
- W3134039683 created "2021-03-15" @default.
- W3134039683 creator A5062594909 @default.
- W3134039683 date "2021-03-01" @default.
- W3134039683 modified "2023-10-17" @default.
- W3134039683 title "<i>N</i>-soliton solutions and the Hirota conditions in (1 + 1)-dimensions" @default.
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- W3134039683 doi "https://doi.org/10.1515/ijnsns-2020-0214" @default.
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