Novel solitons in the (2+1)-dimensional Heisenberg spin chain via generalized conformable derivatives. [PDF]
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Generalized triangle group based S-box construction for secure image encryption. [PDF]
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Regularization of Nonlinear Differential-Algebraic Equations
SIAM Journal on Mathematical Analysis, 1994Summary: This paper illustrates how initial value problems for nonlinear differential-algebraic equations can be regularized, i.e., converted to tractable singularly perturbed problems, by appropriate introduction of a small positive parameter \(\varepsilon\).
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Solvable nonlinear algebraic equations
Inverse Problems, 1990Summary: We introduce classes of nonlinear algebraic equations as concrete realisations of algebraic structures underlying the integrability of well known systems like the Korteweg-de Vries and the Burgers equations. These algebraic equations share with their differential analogues the basic features of integrability and therefore are examples of ...
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Nonlinear differential algebraic equations
Siberian Mathematical Journal, 2007Summary: We consider a system of nonlinear ordinary differential equations that are not solved with respect to the derivative of the unknown vector function and degenerate identically in the domain of definition. We obtain conditions for the existence of a map transforming the original system to the normal form and prove a general theorem on the ...
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