Weak compactons of nonlinearly dispersive KdV and KP equations

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URI: http://hdl.handle.net/10498/35610

DOI: 10.1111/sapm.12777

ISSN: 1467-9590

ISSN: 0022-2526

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Author/s
Gandarias Núñez, María LuzAuthority UCA; Anco, Stephen C.
Date
2024
Department
Matemáticas
Source
Studies in Applied Mathematics - 2024, Vol. 153 n.4, artículo n. e12777
Abstract
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.
Subjects
compacton; cut off; K(m,n)$K(m,n)$ equation; KdV equation; KP equation; line compacton; nonlinear dispersion; traveling wave; weak solution
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