The Benjamin–Ono Equation
Benjamin Ono Equation on a Half Line
... transitional Benjamin-Ono equation,” Matem´atica Contemporˆanea, ...generalized Benjamin-Ono equation,” Transactions of the American Mathematical Society, ...
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Numerical Methods for the Benjamin-Ono Equation
... The Benjamin-Ono equation is a nonlinear evolution ...the Benjamin-Ono equation, and state the exact solutions as found by ...
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Statistical mechanics of the periodic Benjamin Ono equation
... PERIODIC BENJAMIN–ONO EQUATION GORDON BLOWER, CAROLINE BRETT, AND IAN DOUST ...periodic Benjamin–Ono equation is an autonomous Hamiltonian sys- tem with a Gibbs measure on L 2 ( ...
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Integrable Hierarchy of the Quantum Benjamin-Ono Equation
... above determinant and trace both diverge if understood literally. Although it might be possible to regularize them, we shall take another approach by using a peculiarity of the Benjamin–Ono equation, ...
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Application of Trial Equation Method for Solving the Benjamin Ono Equation
... trial equation method for finding exact solutions to nonlinear differential equations ...differential equation is reduced to an ordinary differential equation under the travelling wave ...trial ...
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A Numerical Study for Blow-up in Solutions of the Generalized 2-D Benjamin-Ono Equation
... 2-D Benjamin-Ono Equation Farida Bousbia and Fatma Zohra Nouri Abstract—The Benjamin-Ono (BO) equation is a nonlinear partial integro-differential equation that describes ...
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Interaction of internal solitary waves with long waves within the rotation. modified Benjamin Ono equation
... modified Benjamin–Ono equation describing internal waves in a deep ...a Benjamin–Ono soliton trapped within a long sinusoidal ...
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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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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 ...BO equation including the linear velocity term in matrix form are given ...
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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] ...
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The application of trigonal curve theory to the second order Benjamin Ono hierarchy
... (.) 3 The meromorphic function and Dubrovin-type equations In this section, we shall consider the Baker-Akhiezer function and the associated mero- morphic function. By introducing the elliptic kind coordinates, we ...
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Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type
... differential equation (5) determining the periodic solution, which is typical for KdV-like dispersive hydrodynamics ...wave equation is not of KdV type, yielding trigonometric, rather than elliptic ...
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Dispersive shock waves in systems with nonlocal dispersion of Benjamin–Ono type
... differential equation (5) determining the periodic solution, which is typical for KdV-like dispersive hydrodynamics ...wave equation is not of KdV type, yielding trigonometric, rather than elliptic ...
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On the local well posedness of a Benjamin Ono Boussinesq system
... Saut, Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. 4, 283–318[r] ...
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Exact Solutions to the Generalized Benjamin Equation
... 3. Conclusion The ( ) G G ′ -expansion method has been successfully applied here to seek exact solutions of the generalized Ben- jamin equation. As a result, a series of new exact solutions are obtained. The ...
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An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation
... Abstract In this paper, numerical solution of the Benjamin-Bona-Mahony-Burgers(BBMB) equation is obtained by using the mesh-free method based on the collocation method with radial basis functions(RBFs). ...
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New Exact Solutions of the Modified Benjamin Bona Mahony Equation
... simplest equation method, The mBBM equation, Exact ...simplest equation method is used to construct exact solutions of the modified Benjamin-Bona-Mahony (mBBM) ...
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The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method
... Riccati equation mapping is extended together with the ( G G ′ / ) - expansion method and is a powerful mathematical tool for solving nonlinear partial differential ...modified Benjamin-Bona-Mahony ...
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Local well-posedness for periodic Benjamin equation with small initial data
... Abstract The local well-posedness of the periodic Benjamin equation with small initial value in H s (T), s ≥ –1/2, is given. It is here shown that –1/2 is the lower endpoint to obtain the bilinear estimates ...
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A Splitting Method for the Benjamin Bona Mahoney Equation Using WENO Scheme
... Keywords: Benjamin-Bona-Mahoney equation, Discontinuous solution, Weighted essentially non-oscillatory method, Runge-Kutta ...The Benjamin-Bona-Mahoney equation can be split into a system of ...
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