Results 31 to 40 of about 54,600 (268)
Angewandte Chemie, EarlyView.Gas‐phase complexation of chiral methyloxirane by achiral phenol results in induced chiroptical response of phenol. Two pseudo enantiomer complexes are observed, corresponding to hydrogen bonding from phenol to either of the lone electron pair of the methyloxirane oxygen, denoted as Pro R and Pro S, with opposite chiral deformation of phenol and ...
Etienne Rouquet +5 more
wiley +2 more sources
The Hamiltonian Structure and Algebrogeometric Solution of a 1 + 1-Dimensional Coupled Equations
Journal of Applied Mathematics, 2013 A 1 + 1-dimensional coupled soliton equations are decomposed into two systems of ordinary differential equations. The Abel-Jacobi coordinates are introduced to straighten the flows, from which the algebrogeometric solutions of the coupled 1 + 1 ...
Hongfei Pan, Tiecheng Xia
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Advances in Mathematical Physics, 2022 The (2+1)-dimensional Lax integrable equation is decomposed into solvable ordinary differential equations with the help of known (1+1)-dimensional soliton equations associated with the Ablowitz-Kaup-Newell-Segur soliton hierarchy.
Xiaohong Chen
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Integrable equations with Ermakov-Pinney nonlinearities and Chiellini damping [PDF]
, 2015 We introduce a special type of dissipative Ermakov-Pinney equations of the form v_{\zeta \zeta}+g(v)v_{\zeta}+h(v)=0, where h(v)=h_0(v)+cv^{-3} and the nonlinear dissipation g(v) is based on the corresponding Chiellini integrable Abel equation.
Mancas, Stefan C., Rosu, Haret C.
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Nondegenerate centers for Abel polynomial differential equations of second kind [PDF]
, 2017 In this paper we study the center problem for Abel polynomial differential equations of second kind. Computing the focal values and using modular arithmetics and Gröbner bases we find the center conditions for such systems for lower degrees.The first ...
Giné, Jaume, Valls, Claudia
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Cubic Systems and Abel Equations
Journal of Differential Equations, 1998 Consider autonomous differential systems of the type \[ dx/dt = \lambda x + y + P_2 (x,y)+ P_3 (x,y), \qquad dy/dt =-x+ \lambda y + Q_2 (x,y)+ Q_3 (x,y),\tag \(*\) \] where \(P_i (x,y)\) and \(Q_i (x,y)\), \(i=2,3\), are homogeneous polynomials of degree \(i\).
Devlin, J., Lloyd, N.G., Pearson, J.M.
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Almost periodic solutions for Abel equations
International Journal of Mathematics and Mathematical Sciences, 1997 Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Zeng Weiyao +3 more
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Rational solutions of Abel differential equations
Journal of Mathematical Analysis and Applications, 2022 19 ...
J.L. Bravo +3 more
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Nonlocal symmetries of Riccati and Abel chains and their similarity reductions
, 2012 We study nonlocal symmetries and their similarity reductions of Riccati and Abel chains. Our results show that all the equations in Riccati chain share the same form of nonlocal symmetry.
Bluman G. W. +5 more
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Entropy, 2022 We apply the Simple Equations Method (SEsM) for obtaining exact travelling-wave solutions of the extended fifth-order Korteweg-de Vries (KdV) equation. We present the solution of this equation as a composite function of two functions of two independent ...
Elena V. Nikolova
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