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- W2020658995 abstract "A (2+1)-dimensional KdV equation is obtained by use of Hirota method, which possesses N-soliton solution, specially its exact two-soliton solution is presented. By employing a proper algebraic transformation and the Riccati equation, a type of bell-shape soliton solutions are produced via regarding the variable in the Riccati equation as the independent variable. Finally, we extend the above (2+1)-dimensional KdV equation into (3+1)-dimensional equation, the two-soliton solutions are given." @default.
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- W2020658995 date "2006-03-01" @default.
- W2020658995 modified "2023-09-25" @default.
- W2020658995 title "Higher-Dimensional KdV Equations and Their Soliton Solutions" @default.
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- W2020658995 doi "https://doi.org/10.1088/0253-6102/45/3/007" @default.
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