New Nonlinear Equations: Two-Mode Gardner and Two-Mode Fisher Equations

摘要

We use the sense made by S. V. Korsunsky, Phys. Lett. A 185, 174 (1994) and A. M. Wazwaz, Math. Meth. Appl. Sci. 36, 349 (2013) to establish two new nonlinear equations, two-mode Gardner, and two-mode Fisher. Then, we derive soliton solutions for both models using differentansatze methods. The new models describe the propagation of two different wave modes simultaneously.