Higher-Dimensional KdV Equations and Their Soliton Solutions

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A (2+1)-dimensional Kd V 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.
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