Nonlinear Dynamics

, Volume 81, Issue 1–2, pp 753–763 | Cite as

Conservation laws, multipliers, adjoint equations and Lagrangians for Jaulent–Miodek and some families of systems of KdV type equations

  • Gangwei Wang
  • A. H. Kara
Original Paper


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.


Conservation laws Multipliers Adjoint equations Jaulent–Miodek KdV type equations 


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsBeijing Institute of TechnologyBeijingPeople’s Rebublic of China
  2. 2.School of MathematicsUniversity of the WitwatersrandJohannesburgSouth Africa
  3. 3.Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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