Results 231 to 240 of about 5,273 (265)

Integral Transforms and Differential Equations

1999
The discussion in Chap. 15 introduced a general method of solving differential equations by power series—also called the Frobenius method—which gives a solution that converges within a circle of convergence. In general, this circle of convergence may be small; however, the function represented by the power series can be analytically continued using ...
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Integral Transforms and Dual Integral Equations to Solve Heat Equation with Mixed Conditions

International Journal of Open Problems in Computer Science and Mathematics, 2014
The paper is devoted to determine the solution of the non-stationary heat equation in a non axial symmetric cylindrical coordinates subject to mixed discontinuous boundary conditions of the second kind and third kinds, with the aid of a finite Fourier transform and dual integral equations method. The solution of the given mixed problem is introduced to
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Integral Equations and Integral Transforms

2023
Sudeshna Banerjea, Birendra Nath Mandal
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Nonlinear Transformations and Integrable Evolution Equations

Fortschritte der Physik/Progress of Physics, 1983
The transformation properties of the partial differential equations integrable by the inverse scattering transform method are considered. It is shown that the nonlinear transformations characteristic to the integrable equations (symmetry groups, Backlund-transformations) and integrable equations themselves are contained in certain universal nonlinear ...
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Linear integral transformations and hierarchies of integrable nonlinear evolution equations

Physica D: Nonlinear Phenomena, 1988
Integrable hierarchies of nonlinear evolution equations are investigated on the basis of linear integral equations. These are (Riemann-Hilbert type of) integral transformations which leave invariant an infinite sequence of ordinary differential matrix equations of increasing order in an (indefinite) parameter k.
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The Boussinesq equation as a source of equations integrable by the spectral transform

Nonlinearity, 1997
Summary: Integrable and nonlinear partial differential equations are obtained from the Boussinesq equation by means of an asymptotic reduction method based on Fourier decomposition and spatio-temporal rescaling. The integrability by the spectral transform is explicitly demonstrated, because the corresponding Lax pairs are derived, applying the same ...
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On (p,q)-Analogues of Laplace-Typed Integral Transforms and Applications

Symmetry, 2021
Sansumpan Jirakulchaiwong, Kamsing Nonlaopon, Jessada Tariboon   +2 more
exaly  

On the solution of integral equations by the method of integral transforms

Siberian Mathematical Journal, 1969
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A general class of integral transforms and an expression for their convolution formulas

Integral Transforms and Special Functions, 2022
Marianito R Rodrigo
exaly  

Complex SEE integral transform in solving Abel’s integral equation

Journal of Interdisciplinary Mathematics, 2022
Eman A. Mansour, Emad A. Kuffi, Sadiq A. Mehdi   +2 more
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