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Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation
Lax pair symmetries symmetry group exact solution
2012/9/24
A new method is presented to find the finite symmetry groups of nonlinear physics systems. For the (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, both the Lie point symmetry and the non-Lie...
Equilibrium Clusters in Concentrated Lysozyme Protein Solutions
equilibrium clusters, salt-free lysozyme solutions, short-range attraction and weak long-range repulsion effective potential, scattering experiments.
2011/9/9
We have studied the structure of salt-free lysozyme at 293 K and pH 7.8 using molecular simulations and experimental SAXS effective potentials between proteins at three volume fractions, f = 0.012, 0....
Soliton-like Solutions for Nonlinear Schroedinger Equation with variable quadratic Hamiltonians
Soliton-like Solutions Nonlinear Schroedinger Equation variable quadratic Hamiltonians
2010/11/11
We construct soliton-like solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by using a complete integrability of generalized harmonic oscillator...
Exact solutions for a class of integrable Henon-Heiles-type systems
integrable Henon-Heiles-type systems periodic solutions
2010/4/8
We study the exact solutions of a class of integrable Henon-Heiles-type systems (according to the analysis of Bountis et al. (1982)). These solutions are expressed in terms of two-dimensional Kleinian...
Travelling wave solutions to nonlinear Schrodinger equation with self-steepening and self-frequency shift
group velocity dispersion nonlinear Schrodinger equation self-frequency shift
2010/4/7
We investigate exact travelling wave solutions of higher order nonlinear Schrodinger equation in the absence of third order dispersion. We show that this system possesses a rich solution space with a ...
Casimir Force in Confined Polymer Blends or Ternary Polymer Solutions
Polymer mixtures Confinement Casimir Forces
2010/10/13
This paper is devoted to a review of recent progresses concerning the computation of the Casimir force between two parallel plates delimitating a polymer blend or a ternary polymer solution (with a go...