Skip to main content
SpringerLink
Log in

A reciprocal Bäcklund transformation: Application to a nonlinear hyperbolic model in heat conduction

  • Published:
Lettere al Nuovo Cimento (1971-1985)

Summary

An involutory Bäcklund transformation is used to linearize a class of nonlinear evolution equations. Application is made to a recent model in nonlinear heat conduction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Rogers:J. Math. Phys. (N. Y.),26, 393 (1985).

    Article  ADS  MATH  Google Scholar 

  2. M. L. Storm:J. Appl. Phys.,22, 940 (1951).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. B. R. Seymour andE. Varley: inWave Phenomena: Modern Theory and Applications, edited byC. Rogers andT. Bryant Moodie (Noth-Holland, Amsterdam, 1984).

  4. T. Rugoeri:Acta Mech.,47, 167 (1983).

    Article  MathSciNet  Google Scholar 

  5. A. Morro andT. Ruggeri:Propagazione del calore ed equazioni costitutive, Quaderno C.N.R. (Pitagora Ed., Bologna, 1984), p. 154.

  6. A. Morro andT. Ruggeri: submittedInt. J. Nonlinear Mech.

  7. C. Cattaneo:Att. Sem. Mat. Fis. Modena,3, 83 (1948).

    MathSciNet  Google Scholar 

  8. G. Bluman andS. Kumei:J. Math. Phys. (N. Y.).21, 1019 (1980).

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

    C. Rogers

  2. Dipartimento di Matematica dell’Università, Bologna, Italia

    T. Ruggeri

Authors
  1. C. Rogers
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Ruggeri
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rogers, C., Ruggeri, T. A reciprocal Bäcklund transformation: Application to a nonlinear hyperbolic model in heat conduction. Lett. Nuovo Cimento 44, 289–296 (1985). https://doi.org/10.1007/BF02746683

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02746683

PACS

Search

Navigation