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In this paper, the trial equation method and the complete discrimination system for polynomial method are applied to retrieve the exact travelling wave solutions of complex Ginzburg–Landau equation. Both the Kerr and power laws of nonlinearity are considered. All the possible exact travelling wave solutions consisting of the rational function-type solutions, solitary wave solutions, triangle function-type...
From Planck’s equation for black body radiation and de Broglie’s wave–particle duality relation, we can get a relation between the mass of a phonon and frequency of the emitted radiation. From this relation, we get the theoretical lower limit of the mass of a phonon and critical mass for matter–dark matter conversion. The maximum matter density and limit of the string length are also discussed in...
One of the main problems of quantum information theory is developing the separability criterion which is both necessary and sufficient in nature. Positive partial transposition test (PPT) is one such criterion which is both necessary and sufficient for $$2\times 2$$ 2×2 and $$2\times 3$$ 2×3 systems but not otherwise. We express this strong PPT criterion for a system of 2-qubit symmetric states...
We introduce three different types of periodically-driven multiparametric two-level models whose analytical solutions are given in terms of Heun functions. These results are applied to obtain exact analytical results for certain types of periodic potentials and asymmetric double-well potentials. In particular, it is shown that under special parameter conditions, an experimentally realised periodic...
Nonlinear partial differential equations are the main area of focus for researchers and scientists doing research in applied mathematics. Finding solutions of these nonlinear partial differential equations had gained considerable importance over the last few decades. In this work, an analytical technique named extended exp-function method is introduced for finding archetype exact solutions of innovative...
The integral equations for DC conductivity and external conductance for the network of localised states in amorphous solids are solved by iteration method. The random free energy barriers and single polaron hopping model are used to obtain the DC conductivity $$\sigma _{\mathrm {DC}}$$ σDC and Meyer–Neldel energy $$E_{\mathrm {MN}}$$ EMN . The experimental estimates of optical band gap $$E_{\mathrm...
In the present article, we have studied the behaviour of static, spherically symmetric, anisotropic stellar models within the framework of MIT Bag model in the Tolman IV background. Different physical properties like energy conditions, stability, compactness factor and surface red-shift are investigated through graphical plots and mathematical calculations. The interior solutions found are non-singular...
Structural, phonon and thermal properties of $$\hbox {Al}_x \hbox {Ga}_{1-x} \hbox {As}$$ AlxGa1-xAs alloy for different values of x (x $$=$$ = 0.0, 0.25, 0.5, 0.75 and 1.0) have been investigated by quasiharmonic Debye–Einstein model and Quantum Espresso package. The correction of Vegard’s law for lattice constant has been examined and has a good agreement with other experimental and theoretical...
The non-consensus problems of high-order linear time-invariant dynamical homogeneous multiagent systems are studied. Based on the conditions of consensus achievement, the mechanisms that lead to non-consensus motions are analysed. Besides, a comprehensive classification of diverse types of non-consensus phases corresponding to different conditions is conducted, which is jointly depending on the self-dynamics...
Propagation of three-dimensional nonlinear ion-acoustic solitary waves and shocks in a homogeneous magnetised electron–positron–ion plasma is analysed. Modified extended mapping method is introduced to find ion-acoustic solitary wave solutions of the three-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation. As a result, solitary wave solutions (which represent electrostatic field potential),...
For statistical models of imperfect gases, a new method is proposed to evaluate the reducible cluster integrals of very high (actually unlimited) orders on the basis of information on the irreducible integrals (virial coefficients) or information on the corresponding radius of convergence for the virial series in powers of activity. This method is used to transform conventional expansions for pressure...
Transition metal dichalcogenides (TMDCs) have shown tremendous potential for application in the field of optoelectronics owing to their extraordinary characteristics. The $$\hbox {WS}_{2}/\hbox {V}_{0.25}\hbox {W}_{0.75}\hbox {Se}_{2}$$ WS2/V0.25W0.75Se2 van der Waals heterostructure was fabricated by layer transfer technique and its I–V characteristic was measured at room temperature. The fabricated...
A new phenomenon of an obvious dip of the transmission from subwavelength slits can be obtained if we change the wavelength of the incident light in the visible regime is proposed. Theory shows that there exist maximum reflectivities if we change wavelengths for different slit widths. The theoretical results are consistent with both finite-difference time-domain (FDTD) simulations and experiments.
By proposing a model Hamiltonian in the first quantised form we investigate the chaotic dynamics of $$\alpha $$ α -helical proteins by taking into account the quadrupole–quadrupole-type interaction. The dynamics is studied by deriving Hamilton’s equations of motion and by plotting the time-series evolution and phase-space trajectories. Chaotic trajectories are observed in the phase-space plots. The...
Radiotherapy is important for treating oral cancer in advanced stages. Boron neutron capture therapy represents a unique modality in which neutron beams penetrate into the tissue within an epithermal range. Different methods are available for neutron production, and in this study, we used an electron accelerator. A photoneutron source based on three different energy values (10, 25, and 50 MeV) of...
In this paper, we construct isospectral Hamiltonians without shape invariant potentials for a harmonic oscillator Wigner function on a real line. In this case, we actually remove the ground state of the second Hamiltonian, which forms a special case, $$m=0$$ m=0 , of an exceptional Laguerre differential equation with solutions $$\{L_n^{-2}\}_{n=2}^\infty $$ {Ln-2}n=2∞ as eigenfunctions form a complete...
We discuss the construction of a low-cost room-temperature electric field poling system and the fabrication of high-quality periodically poled lithium niobate (PPLN) devices. The various poling parameters of the indigenously developed quasi-phase matching (QPM) fabrication facility are studied and optimised for the wastage- / breakage-free device fabrication. Furthermore, we present a simple way to...
Electrical resistivity measurement is an exact way to find defects in metals and alloys. Defects contribute to the residual resistivity, and determining their number is very important. Defining the inner electrical structure of an alloy is difficult, and especially it is unpredictable in alloys. This article offers a genetic programming formulation to learn how deposition conditions and alloy constituents...
Hidden attractors with the family of stable equilibrium points in higher-dimensional systems are more interesting and difficult discover compared to other families of hidden attractors. In this paper, a new 5D hyperchaotic system is reported. The proposed system has only one stable equilibrium point. Hence, the new system belongs to the category of hidden attractors. Although some lower-dimensional...
Transmittance measurements of $$\hbox {TlGa}(\hbox {S}_{{x}}\hbox {Se}_{1-x})_{2}$$ TlGa(SxSe1-x)2 layered mixed crystals $$(0 \le \, x \le 1)$$ (0≤x≤1) were performed in the 1.80–2.80 eV photon energy range at $$T = 10 \hbox { K}$$ T=10K . Band-gap energies of the studied crystals were estimated by means of the derivative spectra of transmittance and photon energy dependence of absorption coefficient...
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