Skip to content
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Menu
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Menu
Home
About Us
Resources
Profiles Metrics
Authors Directory
Institutions Directory
Top Authors
Top Institutions
Top Sponsors
AI Digest
Contact Us
Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Travelling solitons in the externally driven nonlinear Schrödinger equation
Journal of Physics A: Mathematical and Theoretical, Volume 44, No. 46, Article 465211, Year 2011
Notification
URL copied to clipboard!
Description
We consider the undamped nonlinear Schrödinger equation driven by a periodic external force. In the absence of damping, solitons do not have undulations on their tails; yet, we show that they can bind into stationary multisoliton complexes. Using two previously known stationary solitons and two newly found stationary complexes as starting points, we obtain classes of localized travelling waves by the numerical continuation in the parameter space. Two families of stable solitons are identified: one family is stable for sufficiently low velocities while solitons from the second family stabilize when travelling faster than a certain critical speed. The stable solitons of the former family can also form stably travelling bound states. © 2011 IOP Publishing Ltd.
Authors & Co-Authors
Barashenkov, Igor V.
South Africa, Cape Town
University of Cape Town
South Africa, Stellenbosch
National Institute for Theoretical Physics
Russian Federation, Dubna
Joint Institute for Nuclear Research, Dubna
Zemlyanaya, Elena Valerievna
Russian Federation, Dubna
Joint Institute for Nuclear Research, Dubna
Statistics
Citations: 28
Authors: 2
Affiliations: 3
Identifiers
Doi:
10.1088/1751-8113/44/46/465211
ISSN:
17518113
e-ISSN:
17518121