Rotation number and eigenvalues of two-component modified Camassa-Holm equations
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Publication:6553022
DOI10.1016/j.nonrwa.2024.104091MaRDI QIDQ6553022
Ke Jiang, Zhi Zhang, Gang Meng
Publication date: 11 June 2024
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
estimatesrotation numbercontinuous dependencetwo-component Camassa-Holm equationperiodic/anti-periodic eigenvalues
Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)
Cites Work
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- On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
- The rotation number for finite difference operators and its properties
- Rotation numbers of linear Schrödinger equations with almost periodic potentials and phase transmissions
- Global conservative solutions of the Camassa-Holm equation
- Continuity in weak topology: higher order linear systems of ODE
- Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls
- Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
- The rotation number for almost periodic potentials
- Ergodic properties and rotation number for linear Hamiltonian systems
- Wave breaking for nonlinear nonlocal shallow water equations
- Periodic solutions of second order equations via rotation numbers
- Estimates on eigenvalues of Laplacian
- The rotation number approach to the periodic Fučik spectrum
- Dependence of solutions and eigenvalues of measure differential equations on measures
- Continuity in weak topology: first order linear systems of ODE
- Continuity and minimization of spectrum related with the periodic Camassa-Holm equation
- Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations
- An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation
- Trace formula for linear Hamiltonian systems with its applications to elliptic Lagrangian solutions
- Remarks on certain two-component systems with peakon solutions
- The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system
- The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials
- Optimal estimates on rotation number of almost periodic systems
- Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems
- Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
- Resonance pockets of Hill's equations with two-step potentials
- THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
- On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
- Rotation numbers for random dynamical systems on the circle
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential
- A new integrable two-component system with cubic nonlinearity
- Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems
- Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations
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