Helmholtz-Manakov solitons Export

@article{citeulike:6031157, abstract = {A different spatial soliton-bearing wave equation is introduced, the Helmholtz-Manakov (HM) equation, for describing the evolution of broad multicomponent self-trapped beams in Kerr-type media. By omitting the slowly varying envelope approximation, the HM equation can describe accurately vector solitons propagating and interacting at arbitrarily large angles with respect to the reference direction. The HM equation is solved using Hirota's method, yielding four different classes of Helmholtz soliton that are vector generalizations of their scalar counterparts. General and particular forms of the three invariants of the HM system are also reported.}, author = {Christian, J. M. and McDonald, G. S. and Posada, P. Chamorro}, citeulike-article-id = {6031157}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000074000006066612000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v74/e066612}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevE.74.066612}, doi = {10.1103/PhysRevE.74.066612}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {helmholtz-equation, p\_my\_db\_cul, solitons}, number = {6}, pages = {066612+}, posted-at = {2009-10-29 04:39:09}, priority = {2}, publisher = {APS}, title = {Helmholtz-Manakov solitons}, url = {http://dx.doi.org/10.1103/PhysRevE.74.066612}, volume = {74}, year = {2006} }

TY - JOUR ID - citeulike:6031157 L3 - citeulike-article-id:6031157 N2 - A different spatial soliton-bearing wave equation is introduced, the Helmholtz-Manakov (HM) equation, for describing the evolution of broad multicomponent self-trapped beams in Kerr-type media. By omitting the slowly varying envelope approximation, the HM equation can describe accurately vector solitons propagating and interacting at arbitrarily large angles with respect to the reference direction. The HM equation is solved using Hirota's method, yielding four different classes of Helmholtz soliton that are vector generalizations of their scalar counterparts. General and particular forms of the three invariants of the HM system are also reported. IS - 6 JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) TI - Helmholtz-Manakov solitons PB - APS VL - 74 SP - 066612 KW - helmholtz-equation KW - p_my_db_cul KW - solitons AU - Christian, JM AU - McDonald, GS AU - Posada, Chamorro PY - 2006/// UR - http://dx.doi.org/10.1103/PhysRevE.74.066612 ER -