Table 1.
Comparison of our solutions and Wazwaz [16] solutions by sine-cosine scheme.
Table 2.
Comparison of our solutions and Wazwaz [16] solutions obtained by the tanh method.
Fig 1.
Travelling wave profile of .
Fig 2.
Effect of nonlinear parameter .
Fig 3.
Schematic illustration of dark soliton type amplitude of KP-BBM equation corresponds to the solution .
Fig 4.
Schematic illustration of bright soliton type amplitude of KP-BBM equation corresponds to the solution .
Fig 5.
Effects of nonlinear parameter .
Fig 6.
The phase portrait and associated solution of the planar dynamical system (4.1) are presented for selected parameters as .
The equilibrium point (0, 0) is an unstable saddle.
Fig 7.
The phase portrait and associated solution of the planar dynamical system (4.1) are presented for selected parameters as .
The equilibrium point (0,0) is an unstable saddle, while the equilibrium point at (−0.95,0) is characterized as a centre.
Fig 8.
The phase portrait and associated solution of the planar dynamical system (4.1) are presented for selected parameters as .
The equilibrium point (0,0) is characterized as a centre.
Fig 9.
The phase portrait and associated solution of the planar dynamical system (4.1) are presented for the selected parameter as .
The equilibrium point (0,0) is identified as a centre, while the equilibrium point at (−1.28,0) is characterized as an unstable saddle.