WebNi and Zhou showed that the Novikov equation is well-posed in , > 3/2by applying Kato s semigroup theory and the Novikov equation is locally well-posed in the WebAug 6, 2009 · Abstract. We classify generalized Camassa–Holm-type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearization ...
Equations of the Camassa-Holm hierarchy - Academia.edu
WebOct 11, 2016 · For these particular operators in the theory, weak decays are the appropriate experimental setup . For single beta decay, the observable signatures of Lorentz and CPT violation appear due to the modified dispersion relation of the antineutrino as well as the altered spinor solutions of the equation of motion . Near the endpoint of the beta ... WebFeb 22, 2024 · The blow up structures, global strong and weak solutions for the DP equation are considered in [16, 17]. Mi and Mu make use of detailed derivations to find the property of peakon solutions for a modified Novikov model. Himonas et al. construct two peakon solutions and illustrate the ill-posedness of the Novikov equation. pericles formation
On the weakly dissipative Camassa–Holm, Degasperis–Procesi, and Novikov …
WebApr 30, 2024 · Global weak solutions for the two-component Novikov equation He Cheng and Qu Changzheng School of Mathematics and Statistics and Center for Nonlinear Studies, Ningbo University, Ningbo 315211, China Received: April 30, 2024 Revised: June 30, 2024 Early access: July 2024 Published: November 2024 A generalization of the Camassa–Holm equation, a model for shallow water … Firstly, we prove that the Cauchy problem for the Novikov equation is locally well … Analogous to the Camassa–Holm equation and the Degasperis–Procesi equation, … The Novikov equation possesses the explicit formulas for multipeakon … On the other hand, it has global weak solutions in H 1 (I) [34,65,66] and global … Existence and uniqueness results for global weak solutions of the Camassa–Holm … In this paper we consider the Cauchy problem for the integrable Novikov … The well-posedness of the global strong and weak solutions for the Novikov … The Novikov equation also enjoys two other important properties of the CH equation: … In this paper, a new modified Novikov equation is introduced. Multiple exact … WebAug 1, 2013 · Let u (t, x) and v (t, x) be related by v (t, x)= e −λt u ( 1− e −2λt 2λ , x ) . (2.5) en v satisfies the weakly dissipative Novikov equation (2.3) if and only if u satisfies the Novikov equa- n (2.4). mark 2.4. The dissipative and non-dissipative solutions in (2.2) coincide at time t = 0. pericles funeral oration athenian democracy