Results 51 to 60 of about 3,603,035 (255)
Classification of the Real Roots of the Quartic Equation and their Pythagorean Tunes [PDF]
, 2020 Presented is a two-tier analysis of the location of the real roots of the general quartic equation x4+ax3+bx2+cx+d=0 with real coefficients and the classification of the roots in terms of a, b, c, and d, without using any numerical approximations ...
Prodanov, Emil
core +2 more sources
Mathematics, 2020 The aim is to put new light on the single ladder problem (SLP). Some new methods for finding complete integer solutions to the corresponding quartic equation z 4 − 2 L z 3 + ( L 2 − a 2 − b 2 ) z 2 + 2 L a 2 z −
Ralph Høibakk +3 more
doaj +1 more source
Journal of the European Optical Society-Rapid Publications, 2022 The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers.
K. Al-Ghafri, E. Krishnan, A. Biswas
semanticscholar +1 more source
The Conditions For Multiple Roots In Cubic and Quartic Equations [PDF]
, 1953 The solving of equations of the third and fourth order is often a very complex problem. It is helpful to know as much about the character of the roots as possible before a solution is attempted. Therefore, the problem of this thesis is to derive a set of
Dryden, Laurence
core +2 more sources
Nuclear Physics B, 2023 A nonperturbative Schwinger-Dyson analysis of mass generation is presented for a non-Hermitian PT -symmetric field theory in four dimensions of an axion coupled to a Dirac fermion. The model is motivated by phenomenological considerations.
N.E. Mavromatos, Sarben Sarkar, A. Soto
doaj +1 more source
Symmetry, 2022 This work recovers cubic-quartic optical solitons with dispersive reflectivity in fiber Bragg gratings and parabolic law of nonlinearity. The Lie symmetry analysis first reduces the governing partial differential equations to the corresponding ordinary ...
S. Malik +7 more
semanticscholar +1 more source
An exciting Approach to Theoretical Spectroscopy
Advanced Science, EarlyView.ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno +29 more
wiley +1 more source
Lines on K3 quartic surfaces in characteristic 3 [PDF]
, 2023 We investigate the number of straight lines contained in a K3 quartic surface X defined over an algebraically closed field of characteristic 3. We prove that if X contains 112 lines, then X is projectively equivalent to the Fermat quartic surface ...
Veniani, Davide Cesare
core +1 more source
Quartic Liénard Equations with Linear Damping [PDF]
Qualitative Theory of Dynamical Systems, 2018 This paper studies the limit cycles for the quadratic Lienard equation with linear damping \[ \begin{cases} \dot{x}=y,\\ \dot{y}=-(a_0+x)\,y-(b_0+b_1 x+b_2 x^2 +b_3 x^3+x^4), \end{cases}\tag{1} \] when \((a_0,b_0,b_1,b_2,b_3)\) is in small neighborhood of \((0,0,0,0,0)\).
openaire +3 more sources
Advanced Electronic Materials, EarlyView.Our work bridges the gap between skyrmion discovery and material design by demonstrating how atomic‐scale control of exchange interactions enables tunable skyrmion phase transitions in centrosymmetric magnetic metals. ABSTRACT Magnetic skyrmions are topologically protected spin states that hold promise for shaping the future of electronics.
Dasuni N. Rathnaweera +9 more
wiley +1 more source