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Table Of Integrals Series And Products

We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Special cases lead to lump solutions, lump-soliton solutions and lump-kink solutions. Two illustrative examples of the resulting solutions are displayed by three-dimensional plots and contour plots.

Diversity of interaction solutions to the (2+1)-dimensional Ito equation

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

Stability of Solitary Waves

Lie symmetry analysis to the time fractional generalized fifth-order KdV equation

Double-wave solutions and Lie symmetry analysis to the (2 + 1)-dimensional coupled Burgers equations

Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system

The multiple exp-function algorithm, as a generalization of Hirota's perturbation scheme, is used to construct multiple wave solutions to the generalized ( 1 + 1 )-dimensional and ( 2 + 1 )-dimensional Ito equations. Some of the resulting solutions involve generic phase shifts and wave frequencies.

Abdullahi Rashid Adem

Papers

Double-wave solutions and Lie symmetry analysis to the (2 + 1)-dimensional coupled Burgers equations

Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system

The generalized ( 1 + 1 )-dimensional and ( 2 + 1 )-dimensional Ito equations

Conservation laws and exact solutions for a 2D Zakharov–Kuznetsov equation

New exact solutions and conservation laws of a coupled Kadomtsev–Petviashvili system