06068739

a

06068739 Atanasova, Pavlina Khristova Zemlyanaya, Elena Shukrinov, Yury Numerical study of fluxon solutions of Sine-Gordon equation under the influence of the boundary conditions. Adam, Gheorghe (ed.) et al., Mathematical modeling and computational science. International conference, MMCP 2011, Star\'a Lesn\'a, Slovakia, July 4--8, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-28211-9/pbk). Lecture Notes in Computer Science 7125, 201-206 (2012). 2012 Berlin: Springer EN long Josephson junction sine-Gordon equation Sturm-Liouville problem Newton's method fluxon bifurcation numerical continuation

doi:10.1007/978-3-642-28212-6_21

Summary: The dependence on the boundary conditions of the fluxon solutions of a boundary problem for the sine-Gordon equation (SGE) is investigated numerically. Interconnection between fluxon and constant solutions is analyzed. Numerical results are discussed in the context of the long Josephson junction model.