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Complete Integrability of Nonlinear Evolution Equations [PDF]
Progress of Theoretical Physics, 1975 Summary: It is shown that a broad class of nonlinear evolution equations, which have been systematically discussed by Ablowitz, Kaup, Newell and Segur, can be described as the Hamiltonian systems and that these Hamiltonian systems are completely integrable.
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FEBS Open Bio, EarlyView.Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero +5 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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ON NONLINEAR INTEGRAL EQUATIONS WITH DEVIATING ARGUMENTS
Tamkang Journal of Mathematics, 1993 We prove an existence theorem for a class of nonlinear inte- gral equations with deviating arguments.
Balachandran, K., Ilamaran, S.
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Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Aging and Cancer, EarlyView.Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
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, 2011 The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. In this paper, the first integral method is used to construct exact solutions of the perturbed nonlinear Schrodinger's ...
Moosaei, Hossein +2 more
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Frailty Predicts Incident Osteoporotic Fractures in Veterans with Rheumatoid Arthritis
Arthritis Care &Research, Accepted Article.Background/Objective Rheumatoid arthritis (RA) is associated with an increased risk of frailty and osteoporosis, but the relationship between frailty and incident osteoporotic fractures in RA is underexplored. Methods Data were from the Veterans Affairs Rheumatoid Arthritis (VARA) Registry.
Katherine D. Wysham +14 more
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Neumann problem on the semi-line for the Burgers equation
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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On integrability of nonautonomous nonlinear Schrödinger equations [PDF]
Proceedings of the American Mathematical Society, 2011 We show, in general, how to transform the nonautonomous nonlinear Schrödinger equation with quadratic Hamiltonians into the standard autonomous form that is completely integrable by the familiar inverse scattering method in nonlinear science. Derivation of the corresponding equivalent nonisospectral Lax pair is also outlined.
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