Journal
INDIAN JOURNAL OF PHYSICS
Volume 94, Issue 6, Pages 823-832Publisher
INDIAN ASSOC CULTIVATION SCIENCE
DOI: 10.1007/s12648-019-01532-5
Keywords
Modified extended auxiliary equation mapping method; Modify unstable nonlinear Schrodinger equation; Solitary wave solutions; Exact traveling wave solutions; 02; 30; Jr; 05; 45; Yv; 47; 10; A; 47; 35; +i; 47; 35; Fg
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In this research article, we investigated the universal model of integrable system of modify unstable nonlinear Schrodinger equation. The mUNLSE described the disturbance of time period in slightly stable and unstable media and managed the instability of modulation wave train. We found the exact and solitary wave solutions of mUNLSE with the help of modified extended auxiliary equation mapping method. As a result, exact and solitary wave solutions in the form of elliptic functions, trigonometric functions, hyperbolic functions, bright and dark solitons, traveling wave, kink-type solitons and periodic solitary wave solution are obtained. These solutions show the power and effectiveness of this new method and two- and three-dimensional graphically with the help of computer software Mathematica. We can also solve other unstable nonlinear system of PDEs which are involved in Mathematical physics and many other branches of physical sciences with the help of this new method.
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