Results 11 to 20 of about 6,899 (148)

Integrability, similarity reductions and solutions for a (3+1)-dimensional modified Kadomtsev–Petviashvili system with variable coefficients

Partial Differential Equations in Applied Mathematics, 2022
In this study, a (3+1)-dimensional modified Kadomtsev–Petviashvili system with variable-coefficients (vcmKP) arising in many fields of science like plasma physics, optics, and fluid mechanics is studied.
Rehab M. El-Shiekh, Mahmoud Gaballah
doaj   +1 more source

Construction of multiple new analytical soliton solutions and various dynamical behaviors to the nonlinear convection-diffusion-reaction equation with power-law nonlinearity and density-dependent diffusion via Lie symmetry approach together with a couple of integration approaches

Journal of Ocean Engineering and Science, 2023
By taking advantage of three different computational analytical methods: the Lie symmetry analysis, the generalized Riccati equation mapping approach, and the modified Kudryashov approach, we construct multiple new analytical soliton solutions to the ...
Shoukry El-Ganaini, Sachin Kumar, Monika Niwas   +2 more
doaj   +1 more source

New nonlinear periodic, solitonic, dissipative waveforms for modified-Kadomstev-Petviashvili-equation in nonthermal positron plasma

Results in Physics, 2020
The positron nonthermality contributions on nonlinear wave aspects of periodic solitary, shocklikes, rational, and explosive waves which exists for the critical features depicted by modified KP equation in earths space of regions D and F ionic plasma ...
H.G. Abdelwahed, Mahmoud A.E. Abdelrahman   +1 more
doaj   +1 more source

The supersymmetric modified Poschl-Teller and delta-well potentials [PDF]

, 1999
New supersymmetric partners of the modified Poschl-Teller and the Dirac's delta well potentials are constructed in closed form. The resulting one-parametric potentials are shown to be interrelated by a limiting process.
Atkinson D A, Barut A O, Boya L J, Boya L J, Braden H W, Carrol R W, Darboux G, Erdélyi A, Fernández C D J, Flügge S, J I Díaz, J Negro, L M Nieto, Landau L D, Lotmar W, Matveev V B, Mielnik B, Mitra I, Márquez I F, O Rosas-Ortiz, Pöschl G, Rosas-Ortiz J O, Rosas-Ortiz J O, Sukumar C V, Sukumar C V, Zakhariev B N   +25 more
core   +2 more sources

Optimal sliding mode controllers for attitude tracking of spacecraft [PDF]

, 2009
This paper studies two optimal sliding mode control laws using integral sliding mode control (ISM) for some spacecraft attitude tracking problems. Integral sliding mode control combining the first order sliding mode and optimal control is applied to ...
Pukdeboon, C., Zinober, A.S.I.
core   +1 more source

Exact travelling wave solutions for nonlinear system of spatiotemporal fractional quantum mechanics equations

Alexandria Engineering Journal, 2022
Schrödinger equation is an indispensable model for quantum mechanics, used for modelling several fascinating complex nonlinear physical systems, such as quantum condensates, nonlinear optics, hydrodynamics, shallow-water waves, and the harmonic ...
Mohammed Alabedalhadi
doaj   +1 more source

The calculation of expectations for classes of diffusion processes by Lie symmetry methods [PDF]

, 2009
This paper uses Lie symmetry methods to calculate certain expectations for a large class of It\^{o} diffusions. We show that if the problem has sufficient symmetry, then the problem of computing functionals of the form $E_x(e^{-\lambda X_t-\int_0^tg(X_s)
Craddock, Mark, Lennox, Kelly A.
core   +1 more source

Exactly Solvable Hydrogen-like Potentials and Factorization Method [PDF]

, 1998
A set of factorization energies is introduced, giving rise to a generalization of the Schr\"{o}dinger (or Infeld and Hull) factorization for the radial hydrogen-like Hamiltonian.
Alves N A, Andrianov A A, Carrol R W, Crum M M, Darboux G, Fernández D J C, Fernández D J C, Fernández D J C, Fernández D J C, Ince E L, J Oscar Rosas-Ortiz, Junker G, Junker G, Mielnik B, Mielnik B, Nag N, Rosas-Ortiz J O, Rosas-Ortiz J O, Rosas-Ortiz J O, Samsonov B F, Schrödinger E, the discussion about exactly solvable models, Wang Z X   +22 more
core   +2 more sources

Construction of Exact Solutions to Partial Differential Equations with CRE Method

Communications in Advanced Mathematical Sciences, 2019
In this article, the consistent Riccati expansion (CRE) method is presented for constructing new exact solutions of (1+1) dimensional nonlinear dispersive modified Benjamin Bona Mahony (DMBBM) and mKdV-Burgers equations.
Arzu Akbulut, Filiz Taşcan
doaj   +1 more source

Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation

Mathematics, 2021
In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations.
Zuzana Pátíková
doaj   +1 more source