No abstract

In this paper, we get certain the lump-trigonometric solutions and rogue waves with predictability of a (2+1)-dimensional Konopelchenko–Dubrovsky equation in fluid dynamics with the assistance of Maple based on the Hirota bilinear form. We first construct a general quadratic form to get the general lump solution for the referred model. At the same time the lump-trigonometric solutions are concluded with plenty of solutions, in which the lump solution localized in all directions in space. The analytical solutions obtained are employed in the investigation of the impacts of the parameters on type of solutions. Moreover, when the lump solution is cut by twin-solitons, the special rogue waves are also introduced. Furthermore, we obtain a new sufficient solutions containing breather wave, cross-kink, periodic-kink, multi-waves and solitary wave solutions. The developed models in this work will serve as the basis for comparisons for the analytical solutions of the subsequent works on the performance of mentioned equation. It is worth noting that the emerging time and place of the rogue waves depend on the moving path of lump solution.

In this paper, we got a novel kind of rogue waves with the predictability of (2 + 1)-dimensional nonlocal Gardner equation with the aid of Maple according to the Hirota bilinear model. We first construct a general quadratic function to derive the general lump solution for the mentioned equation. At the same time, the lumpoff solutions are demonstrated with more free autocephalous parameters, in which the lump solution is localized in all directions in space. Moreover, when the lump solution is cut by twin-solitons, special rogue waves are also introduced. Based on the data available in the literature, the resulting soliton solutions are innovative, developed, distinctive, and significant and can be applied to more complex phenomena, and they are immensely active for nonlinear models of classical and fractional-order type. To examine the dynamic behavior of the waves, contour 3D and 2D plots of several obtained findings are sketched by assigning specific values to the parameters. Furthermore, we obtain new sufficient solutions containing cross-kink, periodic-kink, multi-waves, and solitary wave solutions. It is worth noting that the emerging time and place of the rogue waves depend on the moving path of the lump solution.

v i s i t w w w . i n d e r s c i e n c e . c o m Scope of the Journal Subject coverage:The following list, which is not exhaustive, describes topics appropriate to IJNEST:

No abstract