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- Title
On the classification of conservation laws and soliton solutions of the long short-wave interaction system.
- Authors
Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru
- Abstract
In this paper, the classification of conservation laws (Cls) of the long short-wave interaction system (LSWS) which appears in fluid mechanics as well as plasma physics is implemented using two Cls theorems, namely, the multipliers approach and the new conservation theorem. The LSWS describes the interaction between one long longitudinal wave and one short transverse wave propagating in a generalized elastic medium. The zeroth-order multipliers and the nonlinear self-adjoint substitutions of the model are derived. Considering the fact that the new conservation theorem needs Lie point symmetries in constructing Cls, we derive the point symmetries of a system of nonlinear partial differential equations (NPDEs) acquired by transforming the model into real and imaginary components. Moreover, we derive some kink-type, bell-shaped, singular and combined soliton solutions to the model using the powerful sine-Gordon expansion method (SGEM). Some figures are presented to show the physical interpretations of the acquired results.
- Subjects
CONSERVATION laws (Physics); FLUID mechanics; NONLINEAR partial differential operators; PLASMA physics; SHEAR waves
- Publication
Modern Physics Letters B, 2018, Vol 32, Issue 18, pN.PAG
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984918502020