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Exact Solutions

An Introduction to Mathematical Relativity, 2005
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Exact solutions of the equation for surface waves in a convecting fluid

Applied Mathematics and Computation, 2019
A method for finding exact solutions and the first integrals is presented. The basic idea of the method is to use the value of the Fuchs index that appears in the Painleve test to construct the auxiliary equation for finding the first integrals and exact
N. Kudryashov
semanticscholar   +1 more source

An Exact Solution to Wordle

Operations Research
Optimal Strategies for Wordle and its Variants Motivated by the recent, explosive popularity of Wordle and a suite of suboptimal attempts to solve the game, “An Exact Solution to Wordle,” by Dimitris Bertsimas and Alex Paskov, proposes a new and scalable framework to exactly solve Wordle and any of its variants.
Dimitris Bertsimas, Alex Paskov
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Class of Exact Magnetohydrodynamic Solutions

The Physics of Fluids, 1967
Exact magnetohydrodynamic solutions for incompressible fluids, valid for all values of conductivity and viscosity, are found. These collinear magnetohydrodynamic fields have magnetic surfaces corresponding to stream surfaces.
O'Brien, Vivian, Weinbaum, Sheldon
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Exact solutions

1997
This chapter evaluates some of the simplified Schrödinger equations obtained in the previous chapter, and presents explicit solutions for the energy levels and the corresponding wavefunctions. It begins by looking at the free particle and the particle in a box.
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An exact solution of the endolymph equation

Applied Mathematics and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. F. Elshehawey   +3 more
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Exact Solutions for Lifting Surfaces

AIAA Journal, 1973
Abstract : The obstacle which prevented the determination of exact lifting surface solutions was the singularity at the wing tip. This problem has now been solved analytically for the circular wing and thereby, to an extent, for wings with parabolic wing tips in general. The paper reports the analytical results. It describes how numerical solutions for
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On exact solutions of the Schrodinger equation

Journal of Physics A: Mathematical and General, 1985
A new approach is used to show what kind of potentials we can use to obtain a series of exact solutions in closed forms of the Schrödinger equation for bound states. In particular, the well known Coulombic and oscillator solutions and others are reproduced as special cases.
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Exact solution of linear equations

Proceedings of the second ACM symposium on Symbolic and algebraic manipulation - SYMSAC '71, 1971
The congruential method of obtaining the exact solution of a system of linear equations with integral coefficients is critically reviewed. A new and efficient test for checking that a sequence of residue solutions determines the correct integer solution of the system of equations is presented.
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On exact solutions of the Schrodinger equation

Journal of Physics A: Mathematical and General, 1983
In the one- and three-dimensional Schrodinger equation, a broad class of the regular potentials (rational functions of the rational powers of r) may admit exact bound-state solutions in the generalised harmonic-oscillator elementary form psi (r)=rsigma *polynomial*exp(-polynomial).
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