Bäcklund Transformations and Darboux Integrability for Nonlinear Wave Equations

Clelland, Jeanne N.; Ivey, Thomas A.

Asian J. Math., Tome 13 (2009) no. 1, p. 15-64 / Harvested from Project Euclid

Résumé

We prove that second-order Monge-Ampère equations for one function of two variables are connected to the wave equation by a Bäcklund transformation if and only if they are integrable by the method of Darboux at second order.

Publié le : 2009-03-15
Classification: Bäcklund transformations, hyperbolic Monge-Ampère systems, exterior differential systems, Cartan’s method of equivalence, 37K35, 58J72, 35L10, 37K35, 53C10, 58A15

@article{1240496433,
     author = {Clelland, Jeanne N. and Ivey, Thomas A.},
     title = {B\"acklund Transformations and Darboux Integrability for Nonlinear Wave Equations},
     journal = {Asian J. Math.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 15-64},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1240496433}
}

Clelland, Jeanne N.; Ivey, Thomas A. Bäcklund Transformations and Darboux Integrability for Nonlinear Wave Equations. Asian J. Math., Tome 13 (2009) no. 1, pp.  15-64. http://gdmltest.u-ga.fr/item/1240496433/