TY - GEN
T1 - Numerical Computations of Generalized Korteweg-de Vries (KdV) equations
AU - Madsen, Andrew
AU - Sims, Scott
AB - We consider the following generalized Korteweg-deVries (KdV) equation π’π‘+ππ’π₯+2ππ’π’π₯+ππ’π₯π₯π₯βππ’π₯π₯=0. The above equation is the generalized version of the KDV equation π’π‘+π’π₯+2π’π’π₯+πΏπ’π₯π₯π₯=0. Here π’=π’(π₯,π‘) is a scalar function of π₯βπ
and π‘β₯0, while πΏ>0 is a parameter. This equation is used to model the unidirectional propagation of water waves. The scalar π’represents the amplitude of the wave. In this presentation we investigate the various limits of the solutions of the generalized equation as one or more of the parameters as π,π,π and π tend to zero. This is carried out through numerical computations using the pseudo-spectral method.
DA - 2018-3-23
PY - 2023
PB - unav
N1 - *Acknowledgements: *

Dr. Ramjee Sharma

ER -