In this paper we define the delocalized L^(2)-analytic torsion form and the delocalized L^(2)-combinatorial torsion form.By using the method of Bismut-Goette,under the conditions of positive Novikov-Shubin invariants,...
supported by the National Natural Science Foundation of China (11771395)。
By means of the multilinear variable separation(MLVS) approach, new interaction solutions with low-dimensional arbitrary functions of the(2+1)-dimensional Nizhnik–Novikov–Veselovtype system are constructed. Four-dro...
By applying the mastersymmetry of degree one to the time-independent symmetry K_(1), the fifth-order asymmetric Nizhnik-Novikov-Veselov system is derived. The variable separation solution is obtained by using the trun...
National Natural Science Foundation of China(Grants Nos.12271424 and 11871395);National Natural Science Foundation of China(Grants Nos.11971251,11631007 and 12111530003)。
We prove that the two-component peakon solutions are orbitally stable in the energy space.The system concerned here is a two-component Novikov system,which is an integrable multi-component extension of the integrable ...
partially supported by the National Natural Science Foundation of China(12071439);the Zhejiang Provincial Natural Science Foundation of China(LY19A010016);the Natural Science Foundation of Jiangxi Province(20212BAB201016)。
In this paper,we consider the Cauchy problem for the Camassa-Holm-Novikov equation.First,we establish the local well-posedness and the blow-up scenario.Second,infinite propagation speed is obtained as the nontrivial s...
The current work aims to present abundant families of the exact solutions of Mikhailov-Novikov-Wang equation via three different techniques.The adopted methods are generalized Kudryashov method(GKM),exponential ration...
We present new lemmas,theorem and corollaries to construct interactions among higher-order rogue waves,n-periodic waves and n-solitons solutions(n→∞)to the(2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov(ANNV)eq...