The multicomponent Eckhaus equation

Journal of Physics A: Mathematical and General

Volumn 30, Issue 16, 1997, Pages 5805-5814

  Calogero, F ^a   Degasperis, A ^a   De Lillo, S ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031582705     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/16/021     Document Type: Article

References (13)

1. Calogero F and Eckhaus W 1987 Nonlinear evolution equations, rescalings, model PDEs and their integrability. I Inverse Problems 3 229-62
2. Calogero F 1991 Why are certain nonlinear PDEs both widely applicable and integrable? What Is Integrability? ed V E Zakharov (Berlin: Springer) pp 1-62
3. xψ + |ψ| = 0 Inverse Problems 3 633-81 Calogero F and De Lillo S 1988 Inverse Problems 4 571 (corrigendum)
4. xψ + |ψ| = 0 Inverse Problems 3 633-81 Calogero F and De Lillo S 1988 Inverse Problems 4 571 (corrigendum)
5. Calogero F and De Lillo S 1992 The Eckhaus equation in an external potential J. Phys. A: Math. Gen. 25 L287-90
6. Calogero F 1993 Universal C-integrable nonlinear partial differential equation in N + 1 dimension J. Math. Phys. 34 3197-209
7. Biondini G, De Lillo S and Calogero F 1995 The (2 + 1)-dimensional Eckhaus equation: display of some solutions Nonlinear Evolution Equations and Dynamical Systems (NEEDS'94) ed V G Makhankov, A R Bishop and D D Holm (Singapore: World Scientific) pp 16-23
8. Calogero F and Ji Xiaoda 1993 C-integrable nonlinear partial differential equations III J. Math. Phys. 34 5810-31
9. Calogero F and De Lillo S 1988 Cauchy problems on the semiline and on a finite interval for the Eckhaus equation Inverse Problems 4 L33-7
10. Kundu A 1986 Exact solutions to higher order nonlinear equations through gauge transformations Physica 25D 399-406
11. Calogero F and Ji Xiaoda 1991 C-integrable nonlinear partial differential equations I J. Math. Phys. 32 875-87
12. Degasperis A and Tinebra F 1993 1 + 1 solvable relativistic field models J. Math. Phys. 34 2950-64
13. Calogero F and Degasperis A 1976 Coupled nonlinear evolution equations solvable via the inverse spectral transform and solitons that come back: the boomeron Lett. Nuovo Cimento 16 425-33