RT journal article
T1 Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with p-power nonlinearities in two dimensions
A1 Anco, Stephen C.
A1 Gandarias Núñez, María Luz
A1 Recio Rodríguez, Elena
A2 Matemáticas
K1 line soliton
K1 conservation law
K1 Kadomtsev–Petviashvili equation
AB Nonlinear generalizations of integrable equations in one dimension, such as the Korteweg–de Vries andBoussinesq equations with p-power nonlinearities, arise in many physical applications and are interestingfrom the analytic standpoint because of their critical behavior. We study analogous nonlinear p-powergeneralizations of the integrable Kadomtsev–Petviashvili and Boussinesq equations in two dimensions.For all p <>0, we present a Hamiltonian formulation of these two generalized equations. We derive allLie symmetries including those that exist for special powers p <> 0. We use Noether’s theorem to obtainconservation laws arising from the variational Lie symmetries. Finally, we obtain explicit line solitonsolutions for all powers p > 0 and discuss some of their properties
PB Springer
SN 0040-5779
YR 2018
FD 2018
LK http://hdl.handle.net/10498/33282
UL http://hdl.handle.net/10498/33282
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026