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

DOI10.1007/s11071-015-2025-1zbMath1347.37118OpenAlexW2000838915MaRDI QIDQ327916

Abdul Hamid Kara, Gang-Wei Wang

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2025-1

zbMATH Keywords

conservation lawsmultipliersadjoint equationsKdV type equationsJaulent-Miodek

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Explicit solutions and conservation laws of the logarithmic-KP equation ⋮ The geophysical KdV equation: its solitons, complexiton, and conservation laws ⋮ NUMERICAL SOLUTIONS OF SPACE FRACTIONAL VARIABLE-COEFFICIENT KdV–MODIFIED KdV EQUATION BY FOURIER SPECTRAL METHOD ⋮ Invariant solutions and conservation laws of the generalized Kaup–Boussinesq equation

Cites Work

• A study of shallow water waves with Gardner's equation
• Soliton solutions and Bäcklund transformations of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy
• Bäcklund transformations for the Jaulent-Miodek equations
• Boundary control of the generalized Korteweg-de Vries-Burgers equation
• A new conservation theorem
• Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
• Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
• Relationship between symmetries and conservation laws
• Integrating factors, adjoint equations and Lagrangians
• Evolution equations for strongly nonlinear internal waves
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• On Nonlocal Symmetries, Nonlocal Conservation Laws and Nonlocal Transformations of Evolution Equations: Two Linearisable Hierarchies
• A Basis of Conservation Laws for Partial Differential Equations
• A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations

This page was built for publication: Conservation laws, multipliers, adjoint equations and Lagrangians for Jaulent-Miodek and some families of systems of KdV type equations