TY - GEN
T1 - Time evolution of perturbed solitons of modified Kadomtsev-Petviashvili equations
AU - Phibanchon, Sarun
AU - Allen, Michael A.
PY - 2007
Y1 - 2007
N2 - We solve the (2+1)-dimensional Schamel-Kadomtsev-Petviashvili equations with negative and positive dispersion numerically with one or two perturbed plane solitons as initial conditions. In the negative dispersion case, the plane soliton is stable and retains its identity. For the equation with positive dispersion, the plane solitons decay into two-dimensional lump solitons. We show that in contrast to onedimensional solitons, collisions between two lump solitons are far from elastic. We also demonstrate that the solitons emerging from the collision can be very sensitive to the alignment of the solitons prior to collision.
AB - We solve the (2+1)-dimensional Schamel-Kadomtsev-Petviashvili equations with negative and positive dispersion numerically with one or two perturbed plane solitons as initial conditions. In the negative dispersion case, the plane soliton is stable and retains its identity. For the equation with positive dispersion, the plane solitons decay into two-dimensional lump solitons. We show that in contrast to onedimensional solitons, collisions between two lump solitons are far from elastic. We also demonstrate that the solitons emerging from the collision can be very sensitive to the alignment of the solitons prior to collision.
UR - https://www.scopus.com/pages/publications/48049096132
U2 - 10.1109/ICCSA.2007.77
DO - 10.1109/ICCSA.2007.77
M3 - Conference contribution
AN - SCOPUS:48049096132
SN - 0769529453
SN - 9780769529455
T3 - Proceedings - The 2007 International Conference on Computational Science and its Applications, ICCSA 2007
SP - 20
EP - 23
BT - Proceedings - The 2007 International Conference on Computational Science and its Applications, ICCSA 2007
T2 - 2007 International Conference on Computational Science and its Applications, ICCSA 2007
Y2 - 26 August 2007 through 29 August 2007
ER -