However, to the best of our knowledge, few researchers have studied the existence of periodic wave
solutions and the nonexistence of solitary wave solutions for the singular p-Laplacian problems with impulsive effects.
obtained new periodic kink-wave and kinky periodic wave
solutions for (1) in .
The frequency of the periodic wave
was chosen so that a quasi-static regimen is achieved during each cycle, allowing for the vanishing of the transient during each ramp and each flat, while the periodic character of the load still permits the use of a manageable number of terms of the Fourier series to compute the forced response.
Figure 14 illustrates the periodic wave
input with different RC delay.
In Section 4, we will obtain shock soliton, bright soliton, two-peak bright soliton, dark soliton, two-peak dark soliton, and periodic wave
solutions and analyze the dynamic features of soliton solutions by using some figures.
Some exact peakon, solitary, and smooth periodic wave
solutions will be presented.
Li, "Extended E-expansion method and periodic wave
solutions for the generalized Zakharov equations," Physics Letters A, vol.
Li: Extended F-expansion method and periodic wave
solutions for the generalized Zakharov equations, Phys.
And so, the single middle full cycle minizone, in accordance with the corresponding time period, can be looked on as the periodic extension base of the periodic wave
, and the single cycle waveform is shown as Figure 4.
that is a finite almost periodic wave
packet in the vicinity of a first longitudinal resonance of the stepped bar (see below).
Zhao, "Jacobi elliptic function expansion method and periodic wave
solutions of nonlinear wave equations," Physics Letters A, vol.