Similarity solution and Lie symmetry for a coupled nonlinear system

Journal Article · Wed Apr 01 00:00:00 EST 1987 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00672244· OSTI ID:6112921

Chowdhury, A R; Ghose, A; Naskar, M

The Lie point symmetries of a set of coupled nonlinear partial differential equations are considered. The system is an extended version of the usual nonlinear Schroedinger equation. In the similarity variable deduced from the symmetry analysis, the system is equivalent to the Painleve III in Ince's classification. By starting from a solution of the Painleve equation, one can reproduce various classes of solutions of the original PDEs. Such solutions include both rational and progressive types or a combination of the two.

• Research Organization: Jadavpur Univ., Calcutta, India
• OSTI ID: 6112921
• Journal Information: Int. J. Theor. Phys.; (United States), Vol. 26:4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
NONLINEAR PROBLEMS
ANALYTICAL SOLUTION
LIE GROUPS
SCHROEDINGER EQUATION
BAECKLUND TRANSFORMATION
HYDRODYNAMICS
INVARIANCE PRINCIPLES
PLASMA
QUANTUM MECHANICS
SYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID MECHANICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
TRANSFORMATIONS
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics