Doviak, 1990: Initiation of a solitary wave
family in the demise of a nocturnal thunderstorm density current.
Suppose that u(s) is a solution of the system (1.1) for s [member of] R, u(s) is called a solitary wave
solution if [mathematical expression not reproducible].
In order to obtain solitary wave
amplitude equation, we continue solving second-order equation about e:
Hence, the both terms act to widen the envelope and envelope solitary waves
are unlikely to occur.
Figures 1 and 2 represent the solitary wave
of the real part of E1(x, t) in (23) and N1(x, t) in (24), respectively, 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.
Parkes, "Travelling solitary wave
solutions to a seventh-order generalized KdV equation," Physics Letters A, vol.
Interaction of a large amplitude interfacial solitary wave
of depression with a bottom step.
Different sets of these input parameters contribute to different solitary wave
"We know for sure that the triggering mechanism was the surface melting of snow and ice, but we do not fully understand the complex array of processes that generate solitary waves
," study leader Surendra Adhikari said.
Hence, solitary wave
solutions of these equations illuminate many important physical phenomena.
In the domain of solitary wave
models, it is necessary to obtain the exact solutions of solitary wave
models by all kinds of solving methods and analyze the feature of solitary waves
in propagation process based on the exact solutions.
Abazari, "Biswas, Solitary wave
solutions of coupled Boussinesq equation," Complixity, vol.
Example 1 (a single solitary wave
in 1D BBM-Burgers equation).
In Section 4, we demonstrate the effectiveness of the numerical method applied to our model system in simulations of solitary wave
shoaling on a sloping bottom.