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Article
Optics
Kang-Jia Wang
Summary: The current work considers the Fokas system for nonlinear pulse propagation in monomode optical fibers. By using the Exp-function method, six families of exact soliton solutions were successfully constructed, and their behaviors were described through 3-D contours. The results indicate that the Exp-function method is effective in constructing abundant exact solutions for partial differential equations in optics.
Article
Optics
Kang-Jia Wang et al.
Summary: The Fokas system is used to model the nonlinear pulse propagation in monomode optical fibers, and eight families of soliton solutions are constructed using extended rational sine-cosine and sinh-cosh methods. The performances of the solutions are described through 3-D contours, showing that these methods are effective for constructing abundant soliton solutions for partial differential equations in optics.
Article
Materials Science, Multidisciplinary
Kang-Jia Wang
Summary: In this paper, the Gardner equation, which models the propagation of dust ion acoustic waves, is studied. Various traveling wave solutions are constructed using the Exp-function method and their behaviors are illustrated through 3-D contours and 2D curves. The results show that the proposed method is straightforward, powerful, and provides more forms of traveling wave solutions, which are expected to be helpful for the study of traveling wave theory in dusty plasmas.
RESULTS IN PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
M. S. Mani Rajan et al.
Summary: We investigate the non-isospectral generalized higher order NLS equation (GHNLS) with external potential, which represents the ultrashort optical soliton transmission in inhomogeneous non-Kerr media with external potentials. The Lax pair for GHNLS equation is constructed, and three soliton solutions are obtained using the Darboux transformation. The effects of inhomogeneous non-isospectral parameters on soliton dynamics are considered for the first time. The interaction among double hump solitons is analyzed using two soliton solutions, and the interaction characteristics are studied analytically using three soliton solutions. The stability mechanism is explored through linear stability analysis. The graphical investigation of the effects of nonisospectral parameters and variable coefficients on soliton dynamics is conducted. The predicted results have potential applications in nonlinear fiber optics and femtosecond soliton management.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Materials Science, Multidisciplinary
Siyuan Liu et al.
Summary: This paper investigates some novel analytical solutions to a third-order generalized nonlinear Schrodinger's equation, using the modified generalized exponential rational function method and a logarithmic transformation approach. The main achievements are determined and presented through three-dimensional diagrams. An advantage of this research method is its adaptability to solving other complex problems.
RESULTS IN PHYSICS
(2022)
Article
Materials Science, Multidisciplinary
Kang-Jia Wang et al.
Summary: This study develops seven sets of traveling wave solutions for the system of ion sound and Langmuir waves (SEISLWs) using three effective methods, and proves their power in constructing abundant solutions for PDEs in physics.
RESULTS IN PHYSICS
(2022)
Article
Mathematics, Applied
Kang-Jia Wang et al.
Summary: In this paper, the integrable (2+1)-dimensional Maccari system is investigated using the variational approach. The explicit solutions are constructed and the dynamic behaviors of the solutions are exhibited by choosing appropriate parameters.
Article
Engineering, Mechanical
M. S. Mani Rajan
NONLINEAR DYNAMICS
(2016)
Article
Physics, Multidisciplinary
A. Mahalingam et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2009)
