TY - JOUR
T1 - Exact solitary- and periodic-wave modes in coupled equations with saturable nonlinearity
AU - Chow, K. W.
AU - Malomed, Boris A.
AU - Nakkeeran, K.
N1 - Funding Information:
Partial financial support to this project was provided by the Hong Kong Research Grants Council through contract HKU 7123/05E. K.N. wishes to thank The Nuffield Foundation for their financial support through the Newly Appointed Lecturer Award.
PY - 2006/11/6
Y1 - 2006/11/6
N2 - We demonstrate that the known method, based on the Hirota bilinear operator, generates classes of exact solutions to a system of coupled nonlinear Schrödinger (CNLS) equations with nonpolynomial nonlinearity, either rational or algebraic (the latter involves a square root). The choice of the CNLS equations is suggested by known models for photorefractive media and Bose-Einstein condensation. The solutions are, generally, periodic, and they form families expressed in terms of the Jacobi elliptic functions, the elliptic modulus k being a free parameter of the family. In the limit case corresponding to the infinite period (k = 1), the solutions amount to solitons. In some cases, the exact solutions may feature patterns with two peaks per period. Exact solutions are also found in a single NLS equation with a rational saturable nonlinearity and periodic potential in the form of squared Jacobi sine.
AB - We demonstrate that the known method, based on the Hirota bilinear operator, generates classes of exact solutions to a system of coupled nonlinear Schrödinger (CNLS) equations with nonpolynomial nonlinearity, either rational or algebraic (the latter involves a square root). The choice of the CNLS equations is suggested by known models for photorefractive media and Bose-Einstein condensation. The solutions are, generally, periodic, and they form families expressed in terms of the Jacobi elliptic functions, the elliptic modulus k being a free parameter of the family. In the limit case corresponding to the infinite period (k = 1), the solutions amount to solitons. In some cases, the exact solutions may feature patterns with two peaks per period. Exact solutions are also found in a single NLS equation with a rational saturable nonlinearity and periodic potential in the form of squared Jacobi sine.
UR - http://www.scopus.com/inward/record.url?scp=33748290090&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2006.05.082
DO - 10.1016/j.physleta.2006.05.082
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AN - SCOPUS:33748290090
SN - 0375-9601
VL - 359
SP - 37
EP - 41
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -