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Bifurcation, chaotic behavior, sensitivity analysis, and dynamical investigations of third-order Schrödinger equation using new auxiliary equation method. [PDF]

Sci Rep
Fatima M, Abbas M, Arko YAS, Nazir T, Birhanu A, Yousaf MZ.   +5 more
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Experimental Mathematics and Mathematical Physics

, 2009
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General improved Kudryashov method for exact solutions of nonlinear evolution equations in mathematical physics

Physica Scripta, 2020
This paper is devoted to improving the general Kudryashov method by a new and general auxiliary equation. So, a new method is introduced, which we call ‘the general improved Kudryashov method’, to produce exact solutions for nonlinear evolution equations
Abd‐Allah Hyder, M. Barakat
semanticscholar   +1 more source

A new generalized θ-conformable calculus and its applications in mathematical physics

Physica Scripta, 2020
In this work, a new generalized concept of conformable derivative is given and named generalized θ–conformable derivative (GTCD). Several properties are studied such as the chain rule, the quotient rule, the product rule, the Rolle’s theorem, the mean ...
Abd‐Allah Hyder, A. H. Soliman
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Quadratic conservation laws for equations of mathematical physics

Russian Mathematical Surveys, 2020
Linear systems of differential equations in a Hilbert space are considered that admit a positive-definite quadratic form as a first integral. The following three closely related questions are the focus of interest in this paper: the existence of other ...
V. Kozlov
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Mathematical Physics

2020
V. Balakrishnan
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Deformations in Mathematics and Physics

International Journal of Theoretical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Methods in Equations of Mathematical Physics

Part 1 The stationary phase method: on asymptotic expansions the stationary phase method the stationary phase method, the multidimensional case the problem of waves on the surface of a liquid the asymptotic behaviour of the Fourier transform of a ...
B. Vainberg
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Mathematics and physics in engineering

Electrical Engineering, 1939
MANY definitions are given of an engineer. For the purpose of this discussion I would define an engineer as a scientist who uses physics and mathematics to promote the welfare of mankind. His use of physics and mathematics presupposes a thorough knowledge of them and demands that he be capable of:
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