Explicit multidimensional solitary wave solutions to nonlinear evolution equations

  • Henry A. Warchall
F. Relativity, Quantum Mechanics, and Thermodynamics
Part of the Lecture Notes in Physics book series (LNP, volume 278)


Solitary Wave Wave Solution Piecewise Linear Function Nonlinear Evolution Equation Solitary Wave Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Berestycki, H. and P.-L. Lions, Arch. Rat. Mech. Anal. 82 (1983) 313–375Google Scholar
  2. [2]
    Berger, M., Nonlinearity and Functional Analysis, Academic Press (1977)Google Scholar
  3. [3]
    Brezis, H. and E.H. Lieb, Comm. Math. Phys. 96 (1984) 97–113ADSMathSciNetCrossRefGoogle Scholar
  4. [4]
    Cazenave, T. and P.-L. Lions, Comm. Math. Phys. 85 (1982) 549–561ADSMathSciNetCrossRefGoogle Scholar
  5. [5]
    Deumens, E. and H. Warchall, Explicit construction of all spherically symmetric solitary waves for a nonlinear wave equation in multiple dimensions. Preprint.Google Scholar
  6. [6]
    Jones, C. and T. Köpper, On the infinitely many solutions of a semilinear elliptic equation. To appear in SIAM J. Math. Anal.Google Scholar
  7. [7]
    Lieb, E.H., Talk at the SIAM-AMS Summer Seminar on Systems of Nonlinear Partial Differential Equations in Applied Mathematics (1984: College of Santa Fe)Google Scholar
  8. [8]
    Shatah, J., Comm. Math. Phys. 91 (1983) 313–327ADSMathSciNetCrossRefGoogle Scholar
  9. [9]
    Shatah, J. and W. Strauss, Comm. Math. Phys. 100 (1985) 173–190ADSMathSciNetCrossRefGoogle Scholar
  10. [10]
    Strauss, W., Comm. Math. Phys. 55 (1977) 149–162ADSMathSciNetCrossRefGoogle Scholar
  11. [11]
    Weinstein, M., Comm. Pure Appl. Math. 39 (1986) 51–67MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Henry A. Warchall
    • 1
  1. 1.Department of MathematicsUniversity of RochesterRochester

Personalised recommendations