References
Ablowitz, M.J., Kaup, D.J., Newell, A.C., Segur, H.: The inverse scattering transform-Fourier-analysis for nonlinear problems. Std. Appl. Math.53, 249–315 (1973)
Ablowitz, N.J., Kaup, D.J., Newell, A.C., Segur, H.: Method for solving the Sine-Gordon equation, Phys. Rev. Lett.30, 1262–1263 (1973)
Dirac, P.A.M.: Lectures in quantum mechanics. New York: Yeshiva University 1964
Deift, P., Trubowitz, E.: Inverse scattering on the line. Comm. Pure Appl. Math.32, 121–251 (1979)
Deift, P., Trubowitz, E.: The phase space geometry for the Korteweg-de Vries equation. To appear
Deift, P., Trubowitz, E.: An identity among squares of eigenfunctions. To appear
Kaup, D.J.: Method for solving the Sine-Gordon equation in laboratory coordinates. Stud. Appl. Math.54, 165–179 (1975)
Lax, P.: Periodic solutions of the KdV equation Comm. Pure Appl. Math.28, 141–188 (1975)
Moser, J.: Finitely many mass points on the line under the influence of an exponential potential. In: Dynamic systems theory and applications, (ed. J. Moser) pp. 467–497. New York, Berlin, Heidelberg: 1975
Moser, J.: Various aspects of integrable Hamiltonian systems. To appear in Proc. CIME Conference held in Ressanone, Italy, June 1978
Neumann, C.: De problemate quodam mechanico, quod ad primam integralium ultraellipticorum classem revocatur. J. Reine Angew. Math.56, 46–63 (1859)
McKean, H.P., Trubowitz, E.: Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points. Comm. Pure Appl. Math.29, 143–226 (1976)
Author information
Authors and Affiliations
Additional information
Communicated by A. Jaffe
Research supported by National Science Foundation Grant No. NSF-MCS-76-07039
Research supported by National Science Foundation Grant No. NSF-MCS-76-18222
Rights and permissions
About this article
Cite this article
Deift, P., Lund, F. & Trubowitz, E. Nonlinear wave equations and constrained harmonic motion. Commun.Math. Phys. 74, 141–188 (1980). https://doi.org/10.1007/BF01197756
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01197756