Orbital stability of smooth solitary waves for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e238" altimg="si3.svg"><mml:mi>b</mml:mi></mml:math>-family of Camassa–Holm equations
نویسندگان
چکیده
This paper is devoted to the stability of smooth solitary waves for b-family Camassa–Holm equations. We verify criterion analytically general case b>1 by idea monotonicity period function planar Hamiltonian systems and show that are orbitally stable, which gives a positive answer open problem proposed Lafortune Pelinovsky (2022).
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2023
ISSN: ['1872-8022', '0167-2789']
DOI: https://doi.org/10.1016/j.physd.2023.133680