Results 31 to 40 of about 86,558 (263)
N-order solutions to the Gardner equation in terms of Wronskians
Journal of Mathematical Sciences and Modelling$N$-order solutions to the Gardner equation (G) are given in terms of Wronskians of order $N$ depending on $2N$ real parameters. We get solutions expressed with trigonometric or hyperbolic functions. When one of the parameters goes to $0$, we succeed to
Pierre Gaillard
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New exact travelling solutions of the generalized Hirota equation
Partial Differential Equations in Applied Mathematics, 2021 In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
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On the Number of Real Roots of the Yablonskii-Vorob'ev Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We study the real roots of the Yablonskii-Vorob'ev polynomials, which are special polynomials used to represent rational solutions of the second Painlevé equation.
Pieter Roffelsen
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Rational Solutions to the Fourth Equation of the Nonlinear Schrödinger Hierarchy
AppliedMathThis study concerns the research of rational solutions to the hierarchy of the nonlinear Schrödinger equation. In particular, we are interested in the equation of order 4. Rational solutions to the fourth equation of the NLS hierarchy are constructed and
Pierre Gaillard
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Rationality of bargaining solutions [PDF]
Journal of Mathematical Economics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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THE NUMBER OF RATIONAL SOLUTIONS OF ABEL EQUATIONS
Journal of Applied Analysis & Computation, 2021 Summary: In this paper, we study rational solutions of the Abel differential equations \(dy/dx = f_m(x)y^2+g_n(x)y^3\), where \(f_m(x)\) and \(g_n(x)\) are real polynomials of degree \(m\) and \(n\) respectively. The main result of the paper is as follows: We give a systematic upper bound on the number of the nontrivial rational solutions of such ...
Qian, Xinjie, Shen, Yang, Yang, Jiazhong
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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Rational Solutions and Their Interaction Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation
Advances in Mathematical Physics, 2020 In this paper, we gave a form of rational solution and their interaction solution to a nonlinear evolution equation. The rational solution contained lump solution, general lump solution, high-order lump solution, lump-type solution, etc.
Xiaomin Wang, Sudao Bilige, Jing Pang
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We study the Yablonskii-Vorob'ev polynomials, which are special polynomials used to represent rational solutions of the second Painlevé equation. Divisibility properties of the coefficients of these polynomials, concerning powers of 4, are obtained and ...
Pieter Roffelsen
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