The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with different ...
H.M. Shahadat Ali +4 more
doaj +1 more source
In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt +6 more
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Social Stratification within a Protohistoric Plankhouse of the Pacific Northwest Coast: Use-wear and Spatial Distribution Analysis of Chipped Lithic Artifacts [PDF]
The spatial distribution of chipped lithic artifacts excavated at site 35C05, a Chinookan plankhouse of the protohistoric period, was observed to test the hypothesis that a gradient of material culture -- reflecting social status -- should be evident ...
Smith, Cameron McPherson
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Eigenstructure of the equilateral triangle. Part III. The Robin problem
Lamé′s formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the Robin boundary condition. They are shown to form a complete orthonormal system. Various properties of the spectrum and modal functions are explored.
Brian J. McCartin
wiley +1 more source
Bone Tool Technology : Measurements of Curation and the Spatial Distribution of Bone and Antler Artifacts From a Pacific Northwest Coast Plankhouse Site [PDF]
The purpose of this study was to develop a method of assessing and measuring the amount of curation behavior present in a bone and antler tool assemblage.
Davis, Deborah
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Bäcklund transformations for several cases of a type of generalized KdV equation
An alternate generalized Korteweg‐de Vries system is studied here. A procedure for generating solutions is given. A theorem is presented, which is subsequently applied to this equation to obtain a type of Bäcklund transformation for several specific cases of the power of the derivative term appearing in the equation. In the process, several interesting,
Paul Bracken
wiley +1 more source
Geometrical Methods for Solving of Fully Nonlinear Partial Differential Equations, by P. Popivanov [PDF]
2000 Mathematics Subject Classification: 35-02, 53-02, 35B65, 35C05, 35F20, 35G25, 35L60, 57R45, 58C28 ...
Kutev, Nikolai
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An approximate analytic solution of a particular boundary value problem
This note is concerned with the three‐dimensional quasi‐steady‐state heat conduction equation subject to certain boundary conditions in the whole x′y′‐plane and finite in z′‐direction. This type of boundary value problem arises in laser welding process. The solution to this problem can be represented by an integral using Fourier analysis. This integral
Ugur Tanriver, Aravinda Kar
wiley +1 more source
Some properties of the Feynman‐Kac functional
The Feynman‐Kac formula and its connections with classical analysis were initiated in the now celebrated paper [6] of M. Kac. It soon became obvious that the formula provides a powerful tool for solving partial differential equations by running the Brownian motion process. K.L. Chung and K.M.
S. Graversen +2 more
wiley +1 more source
Explicit Formulas to the Solutions of Several Equations of Mathematical Physics [PDF]
Explicit formulas to the solutions of several equations of mathematical physics including semilinear multidimensional Klein-Gordon equation, the wave equation, Kadomtsev-Petviashvili equation and cubic first order hyperbolic pseudodifferential equation ...
Popivanov, Petar
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