Mathematical Method for Physics pdf hand written notes for BS, MSc and Mphil ||mmp notes|| METHODS OF MATHEMATICAL PHYSICS COMPLETE HNAD WRITTEN NOTES | MMP COMPLETE NOTES TOPICS,EXAMPLES,PROBLEMS SOLUTIONS PDF

Mathematical Method for Physics pdf hand written  notes for BS, MSc and Mphil  

 METHODS OF MATHEMATICAL PHYSICS COMPLETE HNAD WRITTEN NOTES | MMP COMPLETE NOTES TOPICS,EXAMPLES,PROBLEMS SOLUTIONS PDF

MMP notes

TOPICS COVERED IN GIVEN PDF 

SOLUTIONS . 

Solutions to PDEs

 Non- linear partial differential equations (NPDEs with exact solutions)

 .Non-linear schrodinger equation

 . Sine- Gordan equation

 .Liouville's equation

 . Sinh- Gordan equation 

.Krotewege-dk vries equation (Kdv equation)

 .Burger equation

 EXACT SOLUTIONS

 . Sine- Gordan equation

 .Kdv equation

 .Non-linear schrodinger equation (NLS equation) 

 Linearization of Non- linear partial differential equations

 .Lax method 

 .Darbous Transformation

 .Matrix linear system (2x2 matrix system)

 .Riccati equation Conservation laws ---kdv equation

 Miura Transformation

 Backlund Transformation (non-linear transformation)

 Backlund Transformation for Kvd equation

 Miura Transformation

 .Gargner Transformation    

 MATRICES   

eigen value problems  Method of Faddeev (To calculate polynomial of eigen value problems)

Function of a matrix  Cayley-Hamilton theorem   

Tensor product kronecker product

Integral products

General integral equation

Types integral equation

1. Fredholm equation

2.Voltra  integral equation

3.  Integral equation of 1st kind

4. 2nd kind

5. 3rd kind

6. Homogenous integral equation

7. Singular integral equation

    Kernel

Hilbert schmidth kernel
Abel's problem

 Transformation of differential equation into an  integral equation

Harmonic Oscillator

(initial value problem + boundary  value problem)

SOME SPECIAL METHODS

1.Integral transform method (Laplace & Fourier transformation)

2.Mellin transformation

3. Hankel transformation

General Abel's equation

Generating Function Method

Separable Kernel

 Neumann Series

Hilbert-Schmidth Theorey

Orthogonal Eigen Function

Inhomogeneous Integral equation

Lane-Emden Equation

Wave equation

Liouville's Equation          (SOLUTION Solutions)

Burger's equation

Modified kdv equation

And all related topics examples and  problems solutions.

 

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