Some Important Points of the Josephson Effect via Two Superconductors in Complex Bases

Fernando S. Vidal Causanilles, Haci Mehmet Baskonus, Juan Luis García Guirao and Germán Rodríguez Bermúdez
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Fernando S. Vidal Causanilles: Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Spain
Haci Mehmet Baskonus: Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa 63510, Turkey
Juan Luis García Guirao: Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Spain
Germán Rodríguez Bermúdez: University Centre of Defence at the Spanish Air Force Academy, UPCT-MDE Calle Coronel Lopez Pen a, s/n, Santiago de la Ribera, 30720 Murcia, Spain

Mathematics, 2022, vol. 10, issue 15, 1-13

Abstract: In this paper, we study the extraction of some analytical solutions to the nonlinear perturbed sine-Gordon equation with the long Josephson junction properties. The model studied was formed to observe the long Josephson junction properties separated by two superconductors. Moreover, it is also used to explain the Josephson effect arising in the highly nonlinear nature of the Josephson junctions. This provides the shunt inductances to realize a Josephson left-handed transmission line. A powerful scheme is used to extract the complex function solutions. These complex results are used to explain deeper properties of Josephson effects in the frame of impedance. Various simulations of solutions obtained in this paper are also reported.

Keywords: nonlinear perturbed sine-Gordon equation; Bernoulli sub-equation function method; complex travelling wave solutions; singular solitons (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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