LAUSR

Abstract In this paper, we present a model that is of the utmost importance in the field of waves and the propagation of pulses. This model was chosen with great care, because it is somewhat complicated in the calculations, and also because finding solutions to it represents a breakthrough in this field. The process of finding solutions does not mean finding solutions just because they are solutions, but the goal is to find solutions when generating one after the other and interactions occur between them, each wave must keep form. The topic is very important and exciting for all researchers to do their best. In the end, we would like to say that the accuracy of solutions depends mainly on the accuracy of the method used. All previous researchers did not provide the shapes that explain their solutions, and therefore in this work, we will provide what we have come up with in full transparency. At the end of the work, we introduce the explanations for all the results that we obtained.