The Kadomtsev-Petviashvili I (KPI) equation is the difficult nonlinear
wave equation $U_{xt} + 6U_x^2 + 6UU_{xx} + U_{xxxx} = 3U_{yy}.$ We solve
this equation using PDE2D (www.pde2d.com) with initial conditions consisting
of two lump solitons, which collide and reseparate. Since the solution has
steep, moving, peaks, an adaptive finite element grid is used with a grading
which moves with the peaks.
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Author Name: G. Sewell
URL: View PDF
Keywords: KPI equation, adaptive finite element grid, nonlinear wave equation
ISSN: 2244-8659
EISSN: 2244-8659
EOI/DOI:
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