Solitons for the cubic–quintic nonlinear Schrödinger equation with time- and space-modulated coefficients

Journal of Physics A: Mathematical and Theoretical - Tập 42 Số 16 - Trang 165201 - 2009
Juan Belmonte-Beitia1, Jesús Cuevas–Maraver2
1Departamento de Matemáticas, E.T.S. de Ingenieros Industriales and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería (IMACI), Avda. Camilo José Cela 3, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain
2Grupo de Física No Lineal, Departamento de Física Aplicada I, Escuela Universitaria Politécnica, C/Virgen de África, 7, 41011 Sevilla, Spain

Tóm tắt

Từ khóa


Tài liệu tham khảo

Kivshar Y, 2003, Optical Solitons: From Fibers to Photonic Crystals

Hasegawa A, 1989, Optical Solitons in Fibers, 10.1007/BFb0041283

10.1103/RevModPhys.71.463

Davydov A S, 1985, Solitons in Molecular Systems, 10.1007/978-94-017-3025-9

Sulem C, 2000, The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse

Vázquez L, 1997, Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications

Zhou C T, 1994, Phys. Scr., 50, 415, 10.1088/0031-8949/50/4/015

10.1016/0375-9601(88)91042-0

Kartavenko V G, 1984, Sov. J. Nucl. Phys., 40, 240

Abdullaev F Kh, Phys. Rev., 63, 043604, 10.1103/PhysRevA.63.043604

10.1364/JOSAB.19.000369

10.1103/PhysRevLett.94.123201

10.1016/S0030-4018(03)01341-5

Malomed B A, 2006, Soliton Management in Periodic Systems

10.1103/PhysRevLett.97.033903

10.1103/PhysRevLett.85.1795

10.1103/PhysRevLett.91.240201

Kevrekidis P G, 2006, J. Phys. A: Math. Gen., 39, 479, 10.1088/0305-4470/39/3/002

10.1103/PhysRevLett.98.064102

Belmonte-Beitia J, 2008, Discrete Continuous Dyn. Syst., 9, 221, 10.3934/dcdsb.2008.9.221

Belmonte-Beitia J, 2009, J. Phys. A: Math. Theor., 42, 035208, 10.1088/1751-8113/42/3/035208

10.1103/PhysRevLett.100.164102

10.1016/j.physd.2006.07.002

10.1103/PhysRevLett.85.4502

10.1103/PhysRevLett.93.123001