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

Author

Listed:
  • 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
    Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • 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)

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.

Suggested Citation

  • Fernando S. Vidal Causanilles & Haci Mehmet Baskonus & Juan Luis García Guirao & Germán Rodríguez Bermúdez, 2022. "Some Important Points of the Josephson Effect via Two Superconductors in Complex Bases," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2591-:d:871308
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    References listed on IDEAS

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    1. Kang-Jia Wang & Feng Shi & Jing-Hua Liu & Jing Si, 2022. "Application Of The Extended F-Expansion Method For Solving The Fractional Gardner Equation With Conformable Fractional Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-11, November.
    2. Armando Ciancio & Gulnur Yel & Ajay Kumar & Haci Mehmet Baskonus & Esin Ilhan, 2022. "On The Complex Mixed Dark-Bright Wave Distributions To Some Conformable Nonlinear Integrable Models," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-14, February.
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    Cited by:

    1. Umar, Muhammad & Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Baskonus, Haci Mehmet & Ali, Mohamed R. & Shah, Nehad Ali, 2023. "Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 234-248.
    2. Francisco Ureña & Ángel García & Antonio M. Vargas, 2022. "Preface to “Applications of Partial Differential Equations in Engineering”," Mathematics, MDPI, vol. 11(1), pages 1-4, December.

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