In this work, a functional operator extracted from Korsunsky's technique is used to produce new two-mode nonlinear equations. These new equations describe the motion of two directional solitary-waves overlapping with an increasing phase-velocity and affected by two factors labeled as the dispersion and nonlinearity coefficients. To investigate the dynamics of this two-mode family, we construct the two-mode KdV-Burgers-Kuramoto equation (TMKBK) and two-mode Hirota-Satsuma model (TMHS). Two efficient schemes are used to assign the necessary constraints for existence of solutions and to extract them. The role of the phase-velocity on the motion of the obtained two-wave solutions is investigated graphically. Finally, all the obtained solutions are categorized according to their physical shapes.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7286973 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2020.e04057 | DOI Listing |
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