7 papers
Semiquantum Chaos and the Large N Expansion
Fred Cooper, John Dawson, Salman Habib +3
We consider the dynamical system consisting of a quantum degree of freedom interacting with quantum oscillators described by the Lagrangian \bq L = {1\over 2}\dot{A}^2 + \s…
SUSY-Based Variational Method for the Anharmonic Oscillator
Fred Cooper, John Dawson, Harvey Shepard
Using a newly suggested algorithm of Gozzi, Reuter, and Thacker for calculating the excited states of one dimensional systems, we determine approximately the eigenvalues and eigenf…
Solitons in the Camassa-Holm Shallow Water Equation
Fred Cooper, Harvey Shepard
We study the class of shallow water equations of Camassa and Holm derived from the Lagrangian: $ L= \int \left( \frac{1}{2} (φ_{xxx}-φ_{x} )φ_{t} - {1 \over 2} {(φ_{x})^{3}} - {1 \…
Semi-Quantum Chaos
Fred Cooper, John Dawson, Dawn Meredith +1
We consider a system in which a classical oscillator is interacting with a purely quantum mechanical oscillator, described by the Lagrangian $ L = \frac{1}{2} \dot{x}^2 + \frac{1}{…
Solitary Waves and Compactons in a class of Generalized Korteweg-DeVries Equations
Fred Cooper, Harvey Shepard, Pasquale Sodano
We study the class of generalized Korteweg-DeVries equations derivable from the Lagrangian: $ L(l,p) = \int \left( \frac{1}{2} \vp_{x} \vp_{t} - { {(\vp_{x})^{l}} \over {l(l-1)}} +…
Post-Gaussian Varioational Method for the Nonlinear Schrodinger Equation
F. Cooper, H. Shepard, C Lucheroni +1
Gaussians to study soliton behavior and blowup in the nonlinear Schrodinger equation in arbitrary dimension d and with arbitrary nonlinearity parameter kappa