RT journal article
T1 Nonlinearly dispersive KP equations with new compacton solutions
A1 Anco, Stephen C.
A1 Gandarias Núñez, María Luz
A2 Matemáticas
AB A complete classification of compacton solutions is carried out for a generalization of the Kadomtsev-Petviashvili (KP) equation involving nonlinear dispersion in two and higher spatial dimensions. In particular, precise conditions are given on the nonlinearity powers in this equation under which a travelling wave can be cut off to obtain a compacton. Numerous explicit examples having various wave profiles are derived, including a quadratic function, powers of a cosine, and powers of Jacobi cn functions, all of which are symmetric. The cosine and cn symmetric compactons have an anti-symmetric counterpart. In comparison, explicit solitary waves of the generalized KP equation are found to have profiles given by a power of a sech and a reciprocal quadratic function. Kinematic properties of all of the different types of compactons and solitary waves are discussed, along with conservation laws of the generalized KP equation
SN 1468-1218
YR 2024
FD 2024-09-14
LK http://hdl.handle.net/10498/35852
UL http://hdl.handle.net/10498/35852
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026