RT journal article
T1 Conservation laws, symmetries, and line solitons of a Kawahara-KP equation
A1 Márquez Lozano, Almudena del Pilar
A1 Gandarias Núñez, María Luz
A1 Anco, Stephen C.
A2 Matemáticas
K1 Kawahara-KP equation
K1 Conservation laws
K1 Symmetries
K1 Line solitons
AB A generalization of the KP equation involving higher-order dispersion is studied. This equation appears in several physical applications. As new results, the Lie point symmetries are obtained and used to derive conservation laws via Noether’s theorem by introduction of a potential which gives a Lagrangian formulation for the equation. The meaning and properties of the symmetries and the conserved quantities are described. Explicit sech-type line wave solutions are found and their features are discussed. They are shown to describe dark solitary waves on a background which depends on a dispersion ratio and on the speed and direction of the waves. The zero-background case is explored.
PB Elsevier
SN 0377-0427
YR 2023
FD 2023-06-19
LK http://hdl.handle.net/10498/29165
UL http://hdl.handle.net/10498/29165
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-nov-2026