ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Quintic-Septic Nonlinear Schrödinger Equation with a Third-Order Dispersion Term

Journal: Süleyman Demirel University Faculty of Arts and Science Journal of Science (Vol.17, No. 1)

Publication Date:

Authors : ;

Page : 170-184

Keywords : : Nonlinear Schrödinger Equations; Nonlinear Wave Propagation; Generalized Elastic Medium;

Source : Downloadexternal Find it from : Google Scholarexternal


In the present study, the quintic-septic nonlinear modulation of a longitudinal wave propagating to contribute the dispersive and higher-order nonlinear effects in a generalized cubically nonlinear elastic medium is considered. In recent work, for the modulation of a longitudinal wave, a cubic nonlinear Schrödinger equation with a third-order dispersive term is obtained by using a multi-scale expansion of quasi-monochromatic wave solutions. The third- quintic-septic longitudinal wave, by choosing specific values of material constants and wave number for which some coefficients of nonlinear terms are disappeared. In this case, a new perturbation expansion is needed to balance nonlinear effects with dispersive effects. As a result, a quintic-septic nonlinear Schrödinger equation with a third-order dispersion term is obtained as a new model that balances quintic-septic nonlinearity with a third-order dispersion term.

Last modified: 2022-12-08 18:06:46