On the integrability of a new Davey-Stewartson type equation in 2 + 1 dimensions

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 265, Issue 3, 2000, Pages 187-193

  Maccari, Attilio ^a  

^a Istituto Tecnico G Cardano   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; INVERSE PROBLEMS; NONLINEAR EQUATIONS;

DAVEY STEWARTSON; FOURIER EXPANSION; INTEGRABLE EQUATIONS; INVERSE SCATTERING METHODS; PARTIAL DIFFERENTIAL EQUATIONS (PDE); REDUCTION METHOD; REDUCTION TECHNIQUES; SPATIO TEMPORAL;

SCHRODINGER EQUATION;

ARTICLE; CALCULATION; FOURIER ANALYSIS; MATHEMATICAL ANALYSIS; OSCILLATOR; SYSTEM ANALYSIS; TECHNIQUE;

EID: 0034707551     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(99)00842-7     Document Type: Article

References (23)

1. Nonlinear evolution equations, rescalings, model PDEs and their integrability. I
2. Nonlinear evolution equations, rescalings, model PDEs and their integrability. II
3. Equations of nonlinear Schrodinger type in 1 + 1 and 2 + 1 dimensions obtained from integrable PDEs
4. Why are certain nonlinear PDEs both widely applicable and integrable
5. Dissipative bidimensional systems and resonant excitations
6. Approximate solution of a class of nonlinear oscillators in resonance with a periodic excitation
7. The KadomtsewPetviashvili equation as a source of integrable model equations
8. The Boussinesq equation as a source of equations integrable by the spectral transform
9. A generalized Hirota equation in 2 + 1 dimensions
10. A new integrable Davey-Stewartson type equation
11. A model equation for non-resonant interacting ion acoustic plasma waves
12. Some new integrable nonlinear evolution equations in 2 + 1 dimensions
13. Combined δ̄ and Riemann-Hilbert inverse methods for integrable nonlinear evolution equations in (2 + 1) dimensions
14. Construction of scattering data for a class of multidimensional scattering operators
15. On three-dimensional packets of surface waves
16. On the soliton solutions of the Davey-Stewartson equation for long waves
17. On the simplest integrable equation in 2 + 1
18. On the integrability of equations of Davey-Stewartson type
19. Recursion operators and bi-Hamiltonian structures in multidimensions. I
20. First and second order nonlinear evolution equations from an inverse spectral problem
21. Davey-Stewartson type equations of the second and third order: Derivation and classification