Grunnleggende konsepter
Transverse stability of line solitary waves in 2D SGN equations.
Statistikk
"The transverse stability of line solitary waves, 1D solitary waves being exact solutions of the 2D equations independent of the second variable, is established numerically."
"The numerical results give strong evidence to the following Main conjecture I: The line solitary wave (13) is transversely stable as a solution to the 2D SGN equations."
"We give strong evidence for the fact that SGN has a defocusing effect as KP II, and that there are no stable solitary waves localized in two dimensions."
Sitater
"The line solitary wave (13) is transversely stable as a solution to the 2D SGN equations."
"There are no stable SGN solitary waves localized in two dimensions. The equation has a defocusing effect."