Localized structures in surface waves Export

@article{citeulike:5655308, abstract = {An amplitude equation in the form of a perturbed nonlinear Schr\"{o}dinger equation is derived for parametric excitation of surface waves in an extended system. Continuous symmetries of the unperturbed system are used to identify critical modes. Dynamical equations for the latter are derived using singular perturbation theory. The existence of a stable nonpropagating kink solution is predicted. The solution connects two uniform states whose phases of oscillations differ by π ; and should be observable in wide enough cells. A stable nonpropagating soliton solution is found for subcritical excitation.}, author = {Elphick, Christian and Meron, Ehud}, citeulike-article-id = {5655308}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevA.40.3226}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRA/v40/i6/p3226_1}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRA/v40/i6/p3226_1}, doi = {10.1103/PhysRevA.40.3226}, journal = {Physical Review A}, keywords = {faraday\_waves, kink, solitons}, month = {Sep}, number = {6}, pages = {3226--3229}, posted-at = {2009-08-26 22:43:16}, priority = {2}, publisher = {American Physical Society}, title = {Localized structures in surface waves}, url = {http://dx.doi.org/10.1103/PhysRevA.40.3226}, volume = {40}, year = {1989} }

TY - JOUR ID - citeulike:5655308 L3 - citeulike-article-id:5655308 N2 - An amplitude equation in the form of a perturbed nonlinear Schrödinger equation is derived for parametric excitation of surface waves in an extended system. Continuous symmetries of the unperturbed system are used to identify critical modes. Dynamical equations for the latter are derived using singular perturbation theory. The existence of a stable nonpropagating kink solution is predicted. The solution connects two uniform states whose phases of oscillations differ by π ; and should be observable in wide enough cells. A stable nonpropagating soliton solution is found for subcritical excitation. IS - 6 JF - Physical Review A EP - 3229 TI - Localized structures in surface waves PB - American Physical Society VL - 40 SP - 3226 KW - faraday_waves KW - kink KW - solitons AU - Elphick, Christian AU - Meron, Ehud PY - 1989/Sep// UR - http://dx.doi.org/10.1103/PhysRevA.40.3226 ER -