saujs Sakarya University Journal of Science 2147-835X Sakarya University Mathematical Sciences Matematik On The Existence Conditions for New Kinds of Solutions to (3+1)-Dimensional mKDV and mBBM Equations https://orcid.org/0000-0002-7042-1885 Gündoğdu Hami SAKARYA ÜNİVERSİTESİ https://orcid.org/0000-0002-5975-6430 Gözükızıl Ömer Faruk SAKARYA ÜNİVERSİTESİ 02 01 2021 25 1 141 149 10 26 2020 11 26 2020 Copyright © 1997, Sakarya University Journal of Science 1997 Sakarya University Journal of Science

In this work, we consider (3+1) dimensional nonlinear partial differential equations, namely modified KdV and Benjamin-Bona-Mahony equations. Different types of solutions to these equations are derived by Jacobi elliptic sine function expansion method. Besides that, we introduce new types of solutions for two more modified forms of given equations. The gained solutions include exact, singular, periodic, and kink solutions. It is stated that some conditions related to the coefficients provide us with the existence of the gained solutions.

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