The aim of this article is to investigate the multiple-high-order pole solutions focusing NLS equation with quartic terms (QNLS) under non-vanishing boundary conditions (NVBC) via Riemann–Hilbert(RH) method. determinant formula soliton for NVBC given. Further double 1 n d -order, mixed 2 - and -order are obtained.

F (X,Y ) = m, where F ∈ Z[X,Y ] is an irreducible form of degree n ≥ 3 and m 6= 0 a fixed integer, has only finitely many solutions. However, this proof is non-effective and does not give any bounds for the size of the possible solutions. In 1968, A. Baker could give effective bounds based on his famous theory on linear forms in logarithms of algebraic numbers. In the last decades, this method ...

The quartic force field of SO3 was computed fully ab initio using coupled cluster (CCSD(T)) methods and basis sets of up to spdfgh quality. The effect of inner-shell correlation was taken into account. The addition of tight d functions is found to be essential for accurate geometries and harmonic frequencies. The equilibrium geometry and vibrational fundamentals are reproduced to within 0.0003 ...

in this paper, we use the denition of fuzzy normed spaces givenby bag and samanta and the behaviors of solutions of the additive functionalequation are described. the hyers-ulam stability problem of this equationis discussed and theorems concerning the hyers-ulam-rassias stability of theequation are proved on fuzzy normed linear space.

In this paper we present a method of circular arc approximation by quartic Bézier curve. Our quartic approximation method has a smaller error than previous quartic approximation methods due to the alternation of the error function of our quartic approximation. Our method yields a closed form of error so that subdivision algorithm is available, and curvaturecontinuous quartic spline under the su...

The Cauchy problem for the Klein–Gordon equation under quartic potential is considered in de Sitter spacetime. existence of global solutions small rough initial data shown based on mechanism spontaneous symmetry breaking positive Hubble constant. effects spatial expansion and contraction are considered.