The dental journal of Health Sciences University of Hokkaido

It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat

In recent years, several methods have been developed to obtain traveling wave solutions for many NLEEs, such as the theta function method 1, the Jacobi elliptic function

7, Fan subequation method 8, projective Riccati equation method 9, differential transform method 10, direct algebraic method 11, first integral method 12, Hirota’s bilinear method

If a natural Hamiltonian H admits maximal nonregular separation on the sub- manifold L N = 0 in a given orthogonal coordinate system, then the system is separable with a side

Next, we prove bounds for the dimensions of p-adic MLV-spaces in Section 3, assuming results in Section 4, and make a conjecture about a special element in the motivic Galois group

(ii) The cases discussed in Theorem 1.1 were chosen as representative of the basic method, but there are pairs of positive integers not covered by the conditions of Theorem 1.1

Transirico, “Second order elliptic equations in weighted Sobolev spaces on unbounded domains,” Rendiconti della Accademia Nazionale delle Scienze detta dei XL.. Memorie di

Applying the representation theory of the supergroupGL(m | n) and the supergroup analogue of Schur-Weyl Duality it becomes straightforward to calculate the combinatorial effect