Igor Leite Freire
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A look on some results about Camassa–Holm type equations
cm:9525 -
Communications in Mathematics,
April 30, 2021,
Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar)
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https://doi.org/10.2478/cm-2021-0006
A look on some results about Camassa–Holm type equations
Authors: Igor Leite Freire
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Igor Leite Freire
We present an overview of some contributions of the author regarding Camassa–Holm type equations. We show that an equation unifying both Camassa–Holm and Novikov equations can be derived using the invariance under certain suitable scaling, conservation of the Sobolev norm and existence of peakon solutions. Qualitative analysis of the two-peakon dynamics is given.
Da Silva, Priscila Leal; Freire, Igor Leite, 2022, Existence, Persistence, And Continuation Of Solutions For A Generalized 0-Holm-Staley Equation, Journal Of Differential Equations, 320, pp. 371-398, 10.1016/j.jde.2022.02.058.
Duruk Mutlubas, Nilay; Freire, Igor Leite, 2022, The Cauchy Problem And Continuation Of Periodic Solutions For A Generalized CamassaâHolm Equation, Applicable Analysis, pp. 1-14, 10.1080/00036811.2022.2057304.
Lai, Shaoyong; Luo, Kexin, 2023, Wave Breaking To A Shallow Water Wave Equation Involving The Fornberg-Whitham Model, Journal Of Differential Equations, 344, pp. 509-521, 10.1016/j.jde.2022.11.006.
Ming, Sen; Du, Jiayi; Ma, Yaxian, 2022, The Cauchy Problem For Coupled System Of The Generalized Camassa-Holm Equations, AIMS Mathematics, 7, 8, pp. 14738-14755, 10.3934/math.2022810.
Prykarpatskyy, Yarema; Vovk, Myroslava; Pukach, Petro, 2022, Operator-valued CamassaâHolm Systems And Their Integrability, Letters In Mathematical Physics, 112, 4, 10.1007/s11005-022-01566-7.
Sales Filho, Nazime; Freire, Igor Leite, 2022, Structural And Qualitative Properties Of A Geometrically Integrable Equation, Communications In Nonlinear Science And Numerical Simulation, 114, pp. 106668, 10.1016/j.cnsns.2022.106668.