Mathematical Sciences: Singularities in Nonlinear Evolution Equations and the Self-Focusing of Lasers
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This research will study the occurrence and structure of                   singularities of several evolution equations, particularly cases                of the nonlinear Schrodinger equation which arise in nonlinear                  optics.  It will also extend existing work to focusing phenomena                in related equations of nonlinear optics that represent more                    complete physical modelling.  Numerical work will be based on                   dynamic rescaling methods.                                                           This work should provide insight into many physical                        phenomena associated with nonlinearities.  It may have practical                applications in the field of optics.
{'FirstName': 'Brenton', 'LastName': 'LeMesurier', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Brenton J LeMesurier', 'EmailAddress': 'lemesurierb@cofc.edu', 'NSF_ID': '000161468', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Arizona', 'CityName': 'TUCSON', 'ZipCode': '85721', 'PhoneNumber': '5206266000', 'StreetAddress': '845 N PARK AVE RM 538', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Arizona', 'StateCode': 'AZ', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'AZ07', 'ORG_UEI_NUM': 'ED44Y3W6P7B9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ARIZONA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8810121.xml'}