Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations

DOI10.1016/j.na.2016.06.005zbMath1345.35014arXiv1602.08732OpenAlexW2963478706MaRDI QIDQ739433

Vieri Benci, Donato Fortunato

Publication date: 18 August 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08732

zbMATH Keywords

variational methodsBenjamin-Ono equationfractional Schrödinger equationhylomorphic solitonsfractional KdV equationtravelling solitary waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) PDEs in connection with mechanics of deformable solids (35Q74) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (1)

Traveling wave solutions of space-time fractional generalized fifth-order KdV equation

Cites Work

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• GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H¹(R)
• Variational Methods in Nonlinear Field Equations
• Hylomorphic solitons for the generalized KdV equation

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