Abstract
In this paper, we will show and integrate the ‘multiplier’ and ‘adjoint equations and Lagrangian’ approaches to the construction of conservation laws. The details will reveal how the method lends itself to higher-order solutions of the adjoint equation. Amongst other things, the differences here involves the determination of the solutions of the adjoint equation via the multipliers.
| Original language | English |
|---|---|
| Pages (from-to) | 753-763 |
| Number of pages | 11 |
| Journal | Nonlinear Dynamics |
| Volume | 81 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 10 Jul 2015 |
Bibliographical note
Publisher Copyright:© Springer Science+Business Media Dordrecht 2015.
Keywords
- Adjoint equations
- Conservation laws
- Jaulent–Miodek
- KdV type equations
- Multipliers
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Electrical and Electronic Engineering
- Applied Mathematics
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