%0 Journal Article 
%A Gandarias Núñez, María Luz
%A Anco, Stephen C.
%T Weak compactons of nonlinearly dispersive KdV and KP equations
%D 2024
%@ 1467-9590

%U http://hdl.handle.net/10498/35610
%X 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.
%K compacton
%K cut off
%K K(m,n)$K(m,n)$ equation
%K KdV equation
%K KP equation
%K line compacton
%K nonlinear dispersion
%K traveling wave
%K weak solution
%~ Universidad de Cádiz