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Exact Analytical Solutions of the Hamiltonian with a Squared Tangent Potential

Journal of Mathematical Chemistry, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact analytical solutions for forced undamped Duffing oscillator

International Journal of Non-Linear Mechanics, 2016
The steady-state response of an undamped Duffing oscillator to periodic external forces is studied. The forcing functions are chosen such that the time course of the displacement can be described by exact analytical expressions. The displacement and forcing functions are governed by Jacobi elliptic functions and thus are periodic but generally non ...
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Exact analytical solutions for nonlinear reaction–diffusion equations

Chaos, Solitons & Fractals, 2003
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An exact analytical solution in radiation gas dynamics

Astrophysics and Space Science, 1981
The Brinkley-Kirkwood theory, as modified by Bhatnagar and Kushwaha for the inclusion of radiation pressure, is applied to obtain an exact analytical solution for radiation pressure, shock velocity, etc., when a strong explosion takes place in a cold undisturbed gas obeying an exponential density distribution.
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Cooling and warming laws: an exact analytical solution

European Journal of Physics, 2010
This paper deals with temperature variations over time of objects placed in a constant-temperature environment in the presence of thermal radiation. After a historical introduction, the paper discusses cooling and warming laws, by taking into account first solely object–environment energy exchange by thermal radiation, and then adding object ...
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A package for the analytic investigation and exact solution of differential equations

1989
To find exact solutions of differential equations fDEs) one usually performs a variety of tests and ansaetze as e.g. the symmetry ansatz, separation ansatz, ansaetze for first integrals. When carrying through these ideas one h a s to solve overdetermined systems of partial DEs fPDEs).
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An Exact Analytical Solution for Star-Shaped Cracks

Advanced Materials Research, 2015
Using the method of complex analysis and by constructing conformal mapping, the study investigates the plane elasticity problem of star-shaped cracks and provides an analytical solution for the stress intensity factor (SIF) of crack-tip type I and II. Problems of the classic Griffith crack, the cross-shaped crack, concurrent uniformly distributed three-
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