E. Recio

activity

20162026

most citedA general family of multi-peakon equations and their properties

45 citations · 127 across the 14 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math-ph2017★ 23 cited

Conservation laws, symmetries, and line soliton solutions of generalized KP and Boussinesq equations with p-power nonlinearities in two dimensions

S. C. Anco, M. L. Gandarias, E. Recio

Nonlinear generalizations of integrable equations in one dimension, such as the KdV and Boussinesq equations with $p$ -power nonlinearities, arise in many physical applications and…

math-ph2017★ 9 cited

Conserved norms and related conservation laws for multi-peakon equations

Elena Recio, Stephen C. Anco

All nonlinear dispersive wave equations in the general class $m_{t} + f (u, u_{x}) m + (g (u, u_{x}) m)_{x} = 0$ are known to possess multi-peakon weak solutions. A classification is presented for fa…

math-ph2017★ 11 cited

Conservation laws and symmetries of a generalized Kawahara equation

Maria Luz Gandarias, Maria Rosa, Elena Recio +1

The generalized Kawahara equation $u_{t} = a (t) u_{xxxxx} + b (t) u_{xxx} + c (t) f (u) u_{x}$ appears in many physical applications. A complete classification of low-order conservation laws an…