Knupp, K., 2006: Observational analysis of a gust front to bore to solitary wave
transition within an evolving nocturnal boundary layer.
Thus, in order to investigate the existence of periodic wave solutions and nonexistence of solitary wave
solutions of system (1.1), we only need to prove the existence of periodic solutions and nonexistence of homoclinic solutions of system (1.1).
The governing equation of solitary wave
amplitude still cannot be obtained from (14), and we continue solving the following high-order problem:
Figures 3 and 4 represent the solitary wave
of the real part of [E.sub.2](x, t) in (32) and [N.sub.2](x, t) in (33) for -5 [less than or equal to] x [less than or equal to] 5, 0 [less than or equal to] t [less than or equal to] 1.
Shape of Solitary Waves
via Numerical Approximations
Comparisons of internal solitary wave
and surface wave actions on marine structures and their responses.
This set of nonlinear equations was derived previously to describe the satellite-measured coherent solitary waves
excited in the two-fluid system in space plasmas.
In this section, the numerical algorithm is applied to the following three test problems: the motion of a single solitary wave
, the interaction of two solitary waves
, and a Maxwellian initial condition.
As a special and important branch of waves, Rossby solitary waves
have important theoretical significance and research value.
In soliton theory, nonlinear PDEs associated with some linear spectral problems can be generally classified as the isospectral equations which often describe solitary waves
in lossless and uniform media and the nonisospectral equations describing the solitary waves
in a certain type of nonuniform media.
With time going on, the moving mesh trajectory is plotted in Figure 1; the feature of the moving process indicates that most of the points focus on nearby solitary waves
and move with the propagation of the solitary wave
, which also demonstrates the superiority of the moving mesh method.
Since the analysis of the solitary wave
shoaling and breaking given here depend on the exact formula for the solitary wave
, [[theta].sup.2] = 7/9 is used in the present work.