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Benjamin-Ono

Statistical mechanics of the periodic Benjamin Ono equation

Statistical mechanics of the periodic Benjamin Ono equation

... This autonomous Hamiltonian system can be viewed as the limit of a sequence of au- tonomous Hamiltonian systems, whose phase spaces are modelled on the finite-dimensional vector spaces spanned by the first M modes of the ...

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The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation

The Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation

... The Benjamin-ono (BO) equation is an important nonlinear wave model which can describe the deep oceanic internal wave propagation. In this paper, the multi-algebraic solitary wave solutions for the internal ...

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A Numerical Study for Blow-up in Solutions of the Generalized 2-D Benjamin-Ono Equation

A Numerical Study for Blow-up in Solutions of the Generalized 2-D Benjamin-Ono Equation

... Abstract—The Benjamin-Ono (BO) equation is a nonlinear partial integro-differential equation that describes internal waves in deep stratified fluids. Here we present a numerical study of the blow-up ...

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The application of trigonal curve theory to the second order Benjamin Ono hierarchy

The application of trigonal curve theory to the second order Benjamin Ono hierarchy

... second-order Benjamin-Ono hierarchy, which relates to a  ×  matrix spectral ...second-order Benjamin- Ono hierarchy is decomposed into the system of Dubrovin-type ordinary differential ...

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Application of Trial Equation Method for Solving the Benjamin Ono Equation

Application of Trial Equation Method for Solving the Benjamin Ono Equation

... Trial equation method is a systematic method to solve nonlinear differential equations. The advantage of this method is that we can deal with nonlinear equations with linear methods. This method has the characteristics ...

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On the local well posedness of a Benjamin Ono Boussinesq system

On the local well posedness of a Benjamin Ono Boussinesq system

... , Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media.. Gallo, Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces, Adv.[r] ...

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Benjamin Ono Equation on a Half Line

Benjamin Ono Equation on a Half Line

... We consider the initial-boundary value problem for Benjamin-Ono equation on a half-line. We study traditionally important problems of the theory of nonlinear partial di ff erential equations, such as global ...

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Rogue Wave for the Benjamin Ono Equation

Rogue Wave for the Benjamin Ono Equation

... As is well known that solitary wave solutions of nonlinear evolution equations play an important role in nonli- near science fields, especially in nonlinear physical science, since they can provide much physical ...

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MULTIPLE SOLITON SOLUTIONS OF SECOND-ORDER BENJAMIN-ONO EQUATION

MULTIPLE SOLITON SOLUTIONS OF SECOND-ORDER BENJAMIN-ONO EQUATION

... In this paper, we study in particular developable surfaces, a special type of ruled surface in the Lorentzian Heisenberg group Heis 3.. We find out explicit paramet-.[r] ...

8

From real fields to complex Calogero particles

From real fields to complex Calogero particles

... In the next section we shall demonstrate how a complex one-dimensional PT -symmetric Calogero system is embedded in a real solitonic solution of the Benjamin-Ono wave equa- tion and how constrained PT ...

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COERCIVE SOLVABILITY OF PARABOLIC DIFFERENTIAL EQUATIONS WITH DEPENDENT OPERATORS

COERCIVE SOLVABILITY OF PARABOLIC DIFFERENTIAL EQUATIONS WITH DEPENDENT OPERATORS

... play an essential role in the nonlinear science. In this paper, by using the Hirota bilin- ear method, we obtained some explicit formulas of soliton solutions for the second-order Benjamin-Ono equation. ...

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Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method

... Recently, Naher and Abdullah [26] established a highly effective extension of the ( G ′ / G ) expansion method, called the new generalized ( G ′ / G ) expansion method to obtain exact traveling wave solutions of NLEEs. ...

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Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

... equations, BenjaminOno equations, derivative nonlinear Schrödinger equations and derivative nonlinear wave equations, the corresponding unbounded KAM theorems were developed to establish the existence of ...

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Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

... paper, we apply this method and achieve exact solutions to nonlinear partial differ- ential equations (NLPDEs), namely the Benjamin-Ono equation. It is establish that the method by Roshid et al. is a very ...

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Pictures of the past : Benjamin and Barthes on photography

Pictures of the past : Benjamin and Barthes on photography

... For Benjamin, the photograph subjects the social and material world to sober scrutiny and disenchants what has been: photography’s political power is as a moment of mechanical reproduction, bringing art to the ...

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Men of doubt: Fortini, Brecht, Benjamin

Men of doubt: Fortini, Brecht, Benjamin

... Walter Benjamin conceptualised his method in the notions of ‘dialectical imagery’ or ‘dialectics at a ...Indeed, Benjamin notes in ‘What is Epic Theatre’, ...

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RESPONSE TO JENNER'S EPOCHAL ANNOUNCEMENT OF 1798

RESPONSE TO JENNER'S EPOCHAL ANNOUNCEMENT OF 1798

... Benjamin Waterhouse Established Vaccination as a Public Health. Procedure[r] ...

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Newly published music by Benjamin Britten

Newly published music by Benjamin Britten

... The score’s editor, David Matthews brother of Colin, quotes in his introduction an amusing diary entry Britten wrote in the following January when, asked by his teacher if he had any mus[r] ...

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At cold war’s end: complexity, causes, and counterfactuals

At cold war’s end: complexity, causes, and counterfactuals

... Microsoft Word Mueller Benjamin PhD Thesis final docx THE LONDON SCHOOL OF ECONOMICS AND POLITICAL SCIENCE At Cold War’s End Complexity, Causes, and Counterfactuals Benjamin Mueller A thesis submitted[.] ...

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The analysis and redesign of the spraycam sprayer to incorporate fibre composite pultrusions

The analysis and redesign of the spraycam sprayer to incorporate fibre composite pultrusions

... Benjamin Rackemann Research Project Appendix A University of Southern Queensland ENG 4111/4112 Research Project PROJECT SPECIFICATION For: Benjamin Rackemann Topic: THE ANALYSIS AND REDE[r] ...

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