CONVERGENCE AND APPLICATION OF A MODIFIED DOUBLE LAPLACE TRANSFORM (MDLT) IN SOME EQUATIONS OF MATHEMATICAL PHYSICS

Dealing with a modified double Laplace transform (MDLT) technique, we have established some convergence results. Then, using this new technique, we propose resolutions of some equations such as pseudo-hyperbolic and the Benney-Luke equations. The advantage of MDLT is that we can obtain exact solutions in one step. The technique aims to provide viable results with respect to particular cases. Finally, some numerical results are presented.