Handbook of Nonlinear Partial Differential Equation
General Material Designation
[Book]
First Statement of Responsibility
/ [electronic resource]
EDITION STATEMENT
Edition Statement
2nd ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hoboken
Name of Publisher, Distributor, etc.
: CRC Press,
Date of Publication, Distribution, etc.
, 2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (1878 p.)
GENERAL NOTES
Text of Note
Description based upon print version of record.
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EBL RENTAL.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
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Electronic
CONTENTS NOTE
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New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with Maple(t), Mathematica(R), and MATLAB(R) Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They.
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38. Nonlinear Systems of Partial Differential EquationsPart III. Symbolic and Numerical Solutions of Nonlinear PDEs with Maple, Mathematica, and MATLAB; 39. Nonlinear Partial Differential Equations with Maple; 40. Nonlinear Partial Differential Equations with Mathematica; 41. Nonlinear Partial Differential Equations with MATLAB; Supplements. Painlevشb Transcendents. Functional Equations; 42. Painlevشb Transcendents; 43. Functional Equations; Bibliography.
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27. Traveling-WaveSolutions and Self-Similar Solutions28. Elementary Theory of Using Invariants for Solving Equations; 29. Method of Generalized Separation of Variables; 30. Method of Functional Separation of Variables; 31. Direct Method of Symmetry Reductions of Nonlinear Equations; 32. Classical Method of Symmetry Reductions; 33. Nonclassical Method of Symmetry Reductions; 34. Method of Differential Constraints; 35. Painlevشb Test for Nonlinear Equations of Mathematical Physics; 36. Methods of the Inverse Scattering Problem (Soliton Theory); 37. Conservation Laws.
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18. Systems of Two Second-Order Klein-Gordon Type Hyperbolic Equations19. Systems of Two Elliptic Equations; 20. First-Order Hydrodynamic and Other Systems Involving Three or More Equations; 21. Navier-Stokes and Related Equations; 22. Systems of General Form; Part II. Exact Methods for Nonlinear Partial Differential Equations; 23. Methods for Solving First-Order Quasilinear Equations; 24. Methods for Solving First-Order Nonlinear Equations; 25. Classification of Second-Order Nonlinear Equations; 26. Transformations of Equations of Mathematical Physics.
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7. Second-Order Hyperbolic Equations with One Space Variable8. Second-Order Hyperbolic Equations with Two or More Space Variables; 9. Second-Order Elliptic Equations with Two Space Variables; 10. Second-Order Elliptic Equations with Three or More Space Variables; 11. Second-Order Equations Involving Mixed Derivatives and Some Other Equations; 12. Second-Order Equations of General Form; 13. Third-Order Equations; 14. Fourth-Order Equations; 15. Equations of Higher Orders; 16. Systems of Two First-Order Partial Differential Equations; 17. Systems of Two Parabolic Equations.
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Front Cover; Contents; Preface to the new edition; Preface to the first edition; Authors; Some notations and remarks; Part I. Exact Solutions of Nonlinear Partial Differential Equations; 1. First-Order Quasilinear Equations; 2. First-Order Equations with Two Independent Variables Quadratic in Derivatives; 3. First-Order Nonlinear Equations with Two Independent Variables of General Form; 4. First-Order Nonlinear Equations with Three or More Independent Variables; 5. Second-Order Parabolic Equations with One Space Variable; 6. Second-Order Parabolic Equations with Two or More Space Variables.