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In this paper, we extend the recent work of Liu and his collaborators for the (2+1)-dimensional KdV equation. The lump solution under the small perturbation of parameter which decays to the background plane wave in all directions in the plane is obtained. This solution is analogous to the lump solution of the KP equation, but there are some novel different features. The deformation between and among...
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...
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