On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients

• Published in: Optical and quantum electronics Vol. 50; no. 2; pp. 1 - 11
• Main Authors: Osman, M. S., Machado, J. A. T., Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-02-2018; Springer Nature B.V
• Subjects: Boussinesq equations; Characterization and Evaluation of Materials; Computer Communication Networks; Electrical Engineering; Functions (mathematics); Lasers; Mathematical analysis; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Plasma physics; Polynomials; Rational functions; Wave propagation; Unified method; Nonautonomous complex wave solutions; Coupled Schrödinger–Boussinesq equation; Variable coefficients
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-018-1346-y

This paper investigates the coupled Schrödinger–Boussinesq equation with variable-coefficients using the unified method. New nonautonomous complex wave solutions are obtained and classified into two categories, namely polynomial function and rational function solutions. For the polynomial functions emerge the complex solitary, complex soliton and complex elliptic wave solutions, while for the rational function are observed complex periodic rational and complex hyperbolic rational wave solutions. The physical insight and the dynamical behavior of the solutions describing the wave propagation in laser or plasma physics are discussed and analysed for different choices of the arbitrary functions in the solutions.