Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation

The (2+1)-dimensional KdV equation is studied by four distinct methods. The Hirota's bilinear method is used to derive multiple-soliton solutions for this completely integrable equation. The tanh-coth method and the cosh ansatz are used to obtain single soliton solutions and travelling wave solutions. The Exp-function method gives travelling wave solutions with some free parameters. The work highlights the reliability of the four methods.