Universal and integrable nonlinear evolution systems of equations in 2+1 dimensions

Journal of Mathematical Physics

Volumn 38, Issue 8, 1997, Pages 4151-4164

  Maccari, Attilio ^a  

^a Istituto Tecnico G Cardano   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031478686     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532088     Document Type: Article

References (12)

1. F. Calogero and W. Eckhaus, "Nonlinear evolution equations, rescalings, model PDEs and their integrability. I," Inverse Probl. 3, 229-262 (1987).
2. F. Calogero and W. Eckhaus, "Nonlinear evolution equations, rescalings, model PDEs and their integrability. II," Inverse Probl. 4, 11-33 (1988).
3. F. Calogero, " Why are certain nonlinear PDEs both widely applicable and integrable?" in What is integrability?, edited by V. E. Zakharov (Springer, New York, 1991), pp. 1-62.
4. A. Maccari, "The nonlocal oscillator," Nuovo Cimento 111B, 917-930 (1996).
5. A. Maccari, "The dissipative non-local oscillator in resonance with a periodic excitation," Nuovo Cimento 111B, 1173-1186 (1996).
6. F. Calogero and A. Maccari, "Equations of nonlinear Schrödinger type in 1+1 and 2+1 dimensions obtained from integrable PDEs," edited by P. C. Sabatier, Proceedings of the Meeting on Inverse Problems, Montpellier, 1986, Advances in electronics and electron physics Vol. 19, (Academic, New York, 1988), pp. 463-480.
7. A. Maccari, "The Kadomtsev-Petviashvili equation as a source of integrable model equations," J. Math. Phys. 37, 6207-6212 (1996).
8. L. P. Nizhnik, "Integration of multidimensional nonlinear equations by the method of the inverse problem," Sov. Phys. Dokl, 25, 706-708 (1980) (Dokl. Akad. Nauk. SSSR 254, 332-335, 1980).
9. L. P. Nizhnik, "Integration of multidimensional nonlinear equations by the method of the inverse problem," Sov. Phys. Dokl, 25, 706-708 (1980) (Dokl. Akad. Nauk. SSSR 254, 332-335, 1980).
10. V. E. Zakharov, "The inverse scattering method," in Solitons, edited by R. K. Bullough and P. J. Caudrey, Topics in Current Physics Vol. 17 (Springer, Heidelberg, 1980), pp. 243-285.
11. E. I. Shulman, "On the integrability of equations of Davey-Stewartson type," Theor. Math. Phys. 56, 720-724 (1983) [Teor. Mat. Fiz. 56, 131-136, 1983].
12. E. I. Shulman, "On the integrability of equations of Davey-Stewartson type," Theor. Math. Phys. 56, 720-724 (1983) [Teor. Mat. Fiz. 56, 131-136, 1983].