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701
Symmetry and Solution of Neutron Transport Equations in Nonhomogeneous Media
Published 2014-01-01“…We propose the group-theoretical approach which enables one to generate solutions of equations of mathematical physics in nonhomogeneous media from solutions of the same problem in a homogeneous medium. …”
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702
Inference about the Tail of a Distribution: Improvementon the Hill Estimator
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703
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704
On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions
Published 2014-01-01“…This type of problems arises in mathematical physics, mechanics, population growth, and other fields of physics and mathematical chemistry. …”
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705
The Improved Riccati Equation Method and Exact Solutions to mZK Equation
Published 2012-01-01“…Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.…”
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706
Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators
Published 2014-01-01“…We present a general method of operational nature to analyze and obtain solutions for a variety of equations of mathematical physics and related mathematical problems. We construct inverse differential operators and produce operational identities, involving inverse derivatives and families of generalised orthogonal polynomials, such as Hermite and Laguerre polynomial families. …”
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707
Finite Integral Formulas Involving Multivariable Aleph-Functions
Published 2019-01-01“…The main results of our paper are quite general in nature and competent at yielding a very large number of integrals involving polynomials and various special functions occurring in the problem of mathematical analysis and mathematical physics.…”
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708
Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel
Published 2011-01-01“…The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.…”
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709
Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables
Published 2014-01-01“…The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. …”
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710
Fixed points for non-surjective expansion mappings
Published 1998-01-01“…Some implications for mathematical physics are raised with respect to physical invariants…”
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711
Novel exact solutions for PDEs with mixed boundary conditions
Published 2025-01-01“…We are able to obtain nonstandard solutions to equations arising in a range of areas, including mathematical finance, stochastic analysis, hyperbolic geometry, and mathematical physics. Our approach uses the odd and even Hilbert transforms. …”
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712
Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method
Published 2020-01-01“…The outcome indicates that some fractional PDEs are used as a growing finding in the engineering sciences, mathematical physics, and so on.…”
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713
Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method
Published 2013-01-01“…The improved G′/G-expansion method is straightforward, concise and effective and can be applied to other nonlinear evolution equations in mathematical physics.…”
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714
Probability of Local Liquefaction of Saturated Sands in Half-Space Domains under a Train of Surface Point Explosions
Published 2010-01-01“…The load effect is evaluated in approximate closed form using three-dimensional tensorial mathematical physics in polar cylindrical coordinates. The adopted criterion of liquefaction has been experimentally verified both in the laboratory and in the field when continua of saturated sands were subjected to equivalent cyclic shear stress due to earthquake excitation. …”
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715
F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
Published 2014-01-01“…The proposed method is a straightforward, short, promising, and powerful method for the nonlinear evolution equations in mathematical physics.…”
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716
Green's Function and Convergence of Fourier Series for Elliptic Differential Operators with Potential from Kato Space
Published 2010-01-01“…In particular, these results can be applied for the basis of the Fourier method which is usually used in practice for solving some equations of mathematical physics.…”
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717
Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations
Published 2013-01-01“…We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results.…”
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718
Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques
Published 2022-01-01“…These methods can also be used to extract the novel exact traveling wave solutions for solving any types of integer and fractional differential equations arising in mathematical physics.…”
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719
Exp-Function Method for a Generalized MKdV Equation
Published 2014-01-01“…The method constructing soliton solutions in this paper may be useful for the investigations on the other nonlinear mathematical physics model and the conclusions of this paper can give theory support for the study of dynamic features of models in the shallow water.…”
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720