Approximate Conservation Laws of Nonvariational Differential Equations
Abstract
:1. Motivation
2. Theoretical Formulation of Approximate Multipliers
2.1. Classical Multipliers
2.2. Approximate Multipliers
- 1st step.
- Calculation of the exact multipliers of the unperturbed equation Equation (23), by solving the determining equation:
- 2nd step.
- Calculation of the by solving the determining equation for deformations:
Examples of Approximate Multipliers
3. Approximate Conserved Quantities
4. Summary and Concluding Remarks
Funding
Conflicts of Interest
Appendix A. Approximate Multipliers via Perturbed Dependent Variable/s
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Jamal, S. Approximate Conservation Laws of Nonvariational Differential Equations. Mathematics 2019, 7, 574. https://doi.org/10.3390/math7070574
Jamal S. Approximate Conservation Laws of Nonvariational Differential Equations. Mathematics. 2019; 7(7):574. https://doi.org/10.3390/math7070574
Chicago/Turabian StyleJamal, Sameerah. 2019. "Approximate Conservation Laws of Nonvariational Differential Equations" Mathematics 7, no. 7: 574. https://doi.org/10.3390/math7070574