Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation

M. A. Christou; C. I. Christov

Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation

M. A. Christou
, C. I. Christov

Department of Computer Science

University of Louisiana at Lafayette

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A complete orthonormal system of functions in L² (-∞ ∞) is used as a basis function in a Fourier-Galerkin spectral technique for computing localized solutions. The Sixth-Order Generalized Boussinesq Equation is featured whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numericall and shown to agree quantitatively very well to the known analytical and/or numerical ones. The rate of convergence and truncation error are thoroughly examined.

Original language	English
Title of host publication	Proceedings of the International Conference on Dynamical Systems and Differential Equations
Publisher	American Institute of Mathematical Sciences
Pages	121-130
Number of pages	10
Edition	SPEC. ISSUE
Publication status	Published - 2001
Event	2000 International Conference on Dynamical Systems and Differential Equations - Atlanta, GA, United States Duration: 18 May 2000 → 21 May 2000

Other

Other	2000 International Conference on Dynamical Systems and Differential Equations
Country/Territory	United States
City	Atlanta, GA
Period	18/05/00 → 21/05/00

Cite this

@inproceedings{f8126f2113b3434bb77ec49f340b6c47,

title = "Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation",

abstract = "A complete orthonormal system of functions in L2 (-∞ ∞) is used as a basis function in a Fourier-Galerkin spectral technique for computing localized solutions. The Sixth-Order Generalized Boussinesq Equation is featured whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numericall and shown to agree quantitatively very well to the known analytical and/or numerical ones. The rate of convergence and truncation error are thoroughly examined.",

author = "Christou, \{M. A.\} and Christov, \{C. I.\}",

year = "2001",

language = "English",

pages = "121--130",

booktitle = "Proceedings of the International Conference on Dynamical Systems and Differential Equations",

publisher = "American Institute of Mathematical Sciences",

edition = "SPEC. ISSUE",

note = "2000 International Conference on Dynamical Systems and Differential Equations ; Conference date: 18-05-2000 Through 21-05-2000",

}

Christou, MA & Christov, CI 2001, Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation. in Proceedings of the International Conference on Dynamical Systems and Differential Equations. SPEC. ISSUE edn, American Institute of Mathematical Sciences, pp. 121-130, 2000 International Conference on Dynamical Systems and Differential Equations, Atlanta, GA, United States, 18/05/00.

Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation. / Christou, M. A.; Christov, C. I.
Proceedings of the International Conference on Dynamical Systems and Differential Equations. SPEC. ISSUE. ed. American Institute of Mathematical Sciences, 2001. p. 121-130.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation

AU - Christou, M. A.

AU - Christov, C. I.

PY - 2001

Y1 - 2001

N2 - A complete orthonormal system of functions in L2 (-∞ ∞) is used as a basis function in a Fourier-Galerkin spectral technique for computing localized solutions. The Sixth-Order Generalized Boussinesq Equation is featured whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numericall and shown to agree quantitatively very well to the known analytical and/or numerical ones. The rate of convergence and truncation error are thoroughly examined.

AB - A complete orthonormal system of functions in L2 (-∞ ∞) is used as a basis function in a Fourier-Galerkin spectral technique for computing localized solutions. The Sixth-Order Generalized Boussinesq Equation is featured whose solutions comprise monotone shapes (sech-es) and damped oscillatory shapes (Kawahara solitons). Localized solutions are obtained here numericall and shown to agree quantitatively very well to the known analytical and/or numerical ones. The rate of convergence and truncation error are thoroughly examined.

UR - https://www.scopus.com/pages/publications/36849006732

M3 - Conference contribution

AN - SCOPUS:36849006732

SP - 121

EP - 130

BT - Proceedings of the International Conference on Dynamical Systems and Differential Equations

PB - American Institute of Mathematical Sciences

T2 - 2000 International Conference on Dynamical Systems and Differential Equations

Y2 - 18 May 2000 through 21 May 2000

ER -

Fourier-Galerkin method for localized solutions of the Sixth-Order Generalized Boussinesq Equation

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