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Nonlinear Systems and Their Remarkable Mathematical Structures

Volume 2

"Nonlinear Systems and Their Remarkable Mathematical Structures" was published by Taylor & Francis Group in 2019 - Milton, it has 526 pages and the language of the book is English.


“Nonlinear Systems and Their Remarkable Mathematical Structures” Metadata:

  • Title: ➤  Nonlinear Systems and Their Remarkable Mathematical Structures
  • Author:
  • Language: English
  • Number of Pages: 526
  • Publisher: Taylor & Francis Group
  • Publish Date:
  • Publish Location: Milton

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Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface -- The Authors -- Part A: Integrability, Lax Pairs and Symmetry -- A1. Reciprocal transformations and their role in the integrability and classification of PDEs -- 1. Introduction -- 2. Fundamentals -- 3. Reciprocal transformations as a way to identify and classify PDEs -- 4. Reciprocal transformations to derive Lax pairs -- 5. A Miura-reciprocal transformation -- 6. Conclusions -- A2. Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems -- 1. Introduction -- 2. Isospectral versus nonisospectral Lax pairs -- 3. Lax representations for dispersionless systems in (1+1)D and (2+1)D -- 4. Lax representations for dispersionless systems in (3+1)D -- 5. R-matrix approach for dispersionless systems with nonisospectral Lax representations -- A3. Lax pairs for edge-constrained Boussinesq systems of partial difference equations -- 1. Introduction -- 2. Gauge equivalence of Lax pairs for PDEs and PΔEs -- 3. Derivation of Lax pairs for Boussinesq systems -- 4. Gauge and gauge-like equivalences of Lax pairs -- 5. Application to generalized Hietarinta systems -- 6. Summary of results -- 7. Software implementation and conclusions -- A4. Lie point symmetries of delay ordinary differential equations -- 1. Introduction -- 2. Illustrating example -- 3. Formulation of the problem for first-order DODEs -- 4. Construction of invariant first-order DODSs -- 5. First-order linear DODSs -- 6. Lie symmetry classification of first-order nonlinear DODSs -- 7. Exact solutions of the DODSs -- 8. Higher order DODSs -- 9. Traffic flow micro-model equation -- 10. Conclusions -- A5. The symmetry approach to integrability: recent advances -- 1. Introduction -- 2. The symmetry approach to integrability -- 3. Integrable non-abelian equations -- 4. Non-evolutionary systems

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