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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Autor/es
Gandarias Núñez, María LuzAutoridad UCA; Anco, Stephen C.
Fecha
2024
Departamento/s
Matemáticas
Fuente
Studies in Applied Mathematics - 2024, Vol. 153 n.4, artículo n. e12777
Resumen
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.
Materias
compacton; cut off; K(m,n)$K(m,n)$ equation; KdV equation; KP equation; line compacton; nonlinear dispersion; traveling wave; weak solution
Colecciones
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional