RT journal article
T1 Weak compactons of nonlinearly dispersive KdV and KP equations
A1 Gandarias Núñez, María Luz
A1 Anco, Stephen C.
A2 Matemáticas
K1 compacton
K1 cut off
K1 K(m,n)$K(m,n)$ equation
K1 KdV equation
K1 KP equation
K1 line compacton
K1 nonlinear dispersion
K1 traveling wave
K1 weak solution
AB A weak formulation is devised for the (Formula presented.) equation, which is a nonlinearly dispersive generalization of the gKdV equation having compacton solutions. With this formulation, explicit weak compacton solutions are derived, including ones that do not exist as classical (strong) solutions. Similar results are obtained for a nonlinearly dispersive generalization of the gKP equation in two dimensions, which possesses line compacton solutions.
PB John Wiley and Sons Inc
SN 1467-9590
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35610
UL http://hdl.handle.net/10498/35610
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026