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| Content Provider | Springer Nature Link |
|---|---|
| Author | Neirameh, A. |
| Copyright Year | 2016 |
| Abstract | In this paper, we consider a new class of conformable fractional derivative for constructing new exact solitary wave solutions to the fractional perturbed nonlinear Schrodinger equation with power law nonlinearity, which describes the effects of quantic nonlinearity on the ultrashort optical solitons pulse propagation in non-Kerr media.These solitary wave solutions demonstrate the fact that solutions to the perturbed nonlinear Schrodinger equation with power law nonlinearity model can exhibit a variety of behaviors. For more illustration we consider the graphs for one of the solutions. It show that with changing $$\alpha $$ (if $$\alpha $$ tends to one; $$\alpha $$ is fractional symbol) the graphs of the solutions of fractional perturbed nonlinear Schrodinger equation with power law nonlinearity is near to graph of solution of perturbed nonlinear Schrodinger equation with power law nonlinearity in general form. |
| Starting Page | 309 |
| Ending Page | 323 |
| Page Count | 15 |
| File Format | |
| ISSN | 22543902 |
| Journal | SeMA Journal |
| Volume Number | 73 |
| Issue Number | 4 |
| e-ISSN | 22817875 |
| Language | English |
| Publisher | Springer Milan |
| Publisher Date | 2016-02-13 |
| Publisher Institution | Sociedad Española de Matemática Aplicada |
| Publisher Place | Milan |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Sub equation method Mathematics Solitary wave solutions Applications of Mathematics Fractional perturbed nonlinear Schrodinger equation with power law nonlinearity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Applied Mathematics Modeling and Simulation Numerical Analysis |
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