Abstract
Searching for soliton solutions of nonlinear partial differential equations is one of the most interesting and important areas of science in the field of nonlinear phenomena. Soliton is a localized wave with exponential wings or is a localized wave with an infinite support. In this work, we study two extensions of (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Based on the simplified Hirota’s method and the Cole-Hopf transformation method, new multiple front wave solutions are obtained for both versions.
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