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| Content Provider | Springer Nature Link |
|---|---|
| Author | Muatjetjeja, Ben Khalique, Chaudry Masood Magalakwe, Gabriel |
| Copyright Year | 2016 |
| Abstract | In this paper we study a generalized double combined sinh–cosh–Gordon equation, which appears in a wide range of physical applications. It admits geometric interpretation as the differential equation which determines time-like surfaces of constant positive curvature in the same spaces. We first compute the optimal system of one-dimensional subalgebras and then use it to obtain the optimal system of group-invariant solutions for the equation. We employ Lie group method along with the simplest equation method to investigate travelling wave solutions for this equation. In addition conservation laws are constructed using two different techniques, namely, the new conservation theorem and the multiplier method. |
| Ending Page | 3233 |
| Page Count | 13 |
| Starting Page | 3221 |
| File Format | |
| ISSN | 16605446 |
| e-ISSN | 16605454 |
| Journal | Mediterranean Journal of Mathematics |
| Issue Number | 5 |
| Volume Number | 13 |
| Language | English |
| Publisher | Springer International Publishing |
| Publisher Date | 2016-01-30 |
| Publisher Place | Cham |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Conservation laws Symmetries and conservation laws Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction Lie group method conservation laws Solutions in closed form generalized double combined sinh–cosh–Gordon equation Mathematics Traveling wave solutions simplest equation method |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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