Results 21 to 30 of about 9,306,135 (233)
A determinant representation of the n-fold Darboux transformation for the integrable nonlocal derivative nonlinear Schödinger (DNLS) equation is presented.
Yali Shen, Ruoxia Yao
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Using the Gödel metric, we obtain some relevant solutions compatible with spatiotemporal jumps for the geodesic equations, by using an extension of General Relativity with nonzero boundary terms, which are described on an extended manifold generated by ...
Mauricio Bellini
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The method of particular solutions (MPS) has been widely applied for solving various types of partial differential equations. In this paper, the space–time collocation technique is implemented using MPS with polynomial basis functions (MPS-PBF) to solve ...
Thir Dangal +2 more
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Shifted nonlocal Kundu type equations: Soliton solutions
We study the shifted nonlocal reductions of the integrable coupled Kundu type system. We then consider particular cases of this system; namely Chen–Lee–Liu, Gerdjikov–Ivanov, and Kaup–Newell systems.
Aslı Pekcan
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A Particular Solutions for a Two-Phase Model with a Sharp Interface
Two-phase models can be used to describe the dynamics of mixed materials and can be applied to many physical and biological phenomena. For example, these types of models have been used to describe the dynamics of cancer, biofilms, cytoplasm, and ...
David Allen Ekrut, Nicholas G. Cogan
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We prove the existence of exact partial solutions in the form of convex quadrilaterals in the general problem of four bodies mutually acting according to an arbitrary law ~1/rк , where k ≥ 2.
Yulianna V. Perepelkina
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Two-dimensional convection—diffusion problem solved using method of localized particular solutions
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
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New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions
The Jacobi elliptic function method is applied to solve the generalized Benjamin-Bona-Mahony equation (BBM). Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.
Alvaro H. Salas +2 more
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Developing stability analysis methods for modern dynamical system solutions has been a significant challenge in the field. This study aims to formulate a qualitative analysis approach for the monotone stability region of a specific solution to a single ...
Vladislav V. Lyubimov
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ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld +5 more
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