New Periodic-Wave, Periodic-Cross-kink Wave, Three Wave and Other Analytical Wave Solitons of New (2+1)-Dimensional KdV Equation

This research is concerned to some modernistic solutions of new (2+1)-dimensional Korteweg–de Vries equation. The collected solutions can be executed in exposing of this model in prominent form. The obtained results including the new periodic-wave, new periodic-cross-kink wave, new three wave and other analytical wave solitons. Verification of achieved results are also done with the use of Mathematica and Maple tools. Four different techniques named as; Hirota bilinear, exp _a function, extended sinh-Gordon equation expansion and modified simplest equation techniques are employed to protect the results. The achieved results are also illustrated by 2-D, 3-D and contour plots. The gained results can also be fruitful for the development of model in future.