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Compacton Solutions in a Class of Generalized Fifth Order Korteweg-de Vries Equations
Fred Cooper, James M. Hyman, Avinash Khare
We study a class of generalized fifth order Korteweg-de Vries (KdV) equations which are derivable from a Lagrangian L(p,m,n,l) which has variable powers of the first and second der…
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 \…
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)}} +…