A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics
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DOI: 10.1007/s10958-018-3794-0
Abstract: We describe applications of asymptotic methods to problems of mathematical physics and mechanics, primarily, to the solution of nonlinear singularly perturbed problems in local domains. We also discuss applications of Padé approximations for transformation of… read more here.
Keywords: mathematical physics; problems mathematical; method matching; physics ... See more keywords
Solitary wave solutions to some nonlinear fractional evolution equations in mathematical physics
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DOI: 10.1016/j.heliyon.2020.e03727
Abstract: The objective of this article is to construct new and further general analytical wave solutions to some nonlinear evolution equations of fractional order in the sense of the modified Riemann-Liouville derivative relating to mathematical physics,… read more here.
Keywords: solutions nonlinear; mathematical physics; wave solutions; evolution equations ... See more keywords
Orthogonal Polynomials in Mathematical Physics
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DOI: 10.1142/s0129055x18400056
Abstract: This is a review of ([Formula: see text]-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot theory. We discuss both continuous and discrete orthogonal… read more here.
Keywords: mathematical physics; polynomials mathematical; physics; physics orthogonal ... See more keywords
ON WEIGHTED k-FRACTIONAL OPERATORS WITH APPLICATIONS IN MATHEMATICAL PHYSICS
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DOI: 10.1142/s0218348x21500845
Abstract: The main objective of this paper is to present weighted [Formula: see text]-fractional integral and derivative operators of a function with respect to another function and to uncover their properties. In addition to this, we… read more here.
Keywords: weighted fractional; mathematical physics; physics; fractional operators ... See more keywords
Modern Problems of Mathematical Physics and Their Applications
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DOI: 10.3390/axioms11020045
Abstract: There are many applications of mathematical physics in several fields of basic science and engineering [...] read more here.
Keywords: problems mathematical; mathematical physics; physics; modern problems ... See more keywords
Some Multifaceted Aspects of Mathematical Physics, Our Common Denominator with Elliott Lieb †
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DOI: 10.3390/axioms11100522
Abstract: Mathematical physics has many facets, of which we shall briefly give a (very partial) description, centered around those of main interest for Elliott and us (Moshe Flato and I), and around the seminal scientific and… read more here.
Keywords: mathematical physics; multifaceted aspects; physics common; physics ... See more keywords
Henri Poincaré's Comment on Calculus and Albert Einstein's Comment on Entropy: Mathematical Physics on the Tenth Anniversary of Axioms
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DOI: 10.3390/axioms12010083
Abstract: This Special Issue of the journal Axioms collates submissions in which the authors report their perceptions and results in the field of mathematical physics and/or physical mathematics without any preconditions of the specific research topic… read more here.
Keywords: mathematical physics; physics; comment; poincar comment ... See more keywords