The Benjamin Ono Equation
Rogue Wave for the Benjamin Ono Equation
... In the paper, the homoclinic (hateroclinic) breather limit method (HBLM) is applied to seek rogue wave solution of the Benjamin Ono equation. We find that the rational breather wave solution is just ...
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Statistical mechanics of the periodic Benjamin Ono equation
... T ). The paper shows that the Gibbs measures on bounded balls of L 2 satisfy some logarithmic Sobolev inequalities. The space of n-soliton solutions of the periodic Benjamin–Ono equation, as ...
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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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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 ...
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A Numerical Study for Blow-up in Solutions of the Generalized 2-D Benjamin-Ono Equation
... [12] Yan Liu, Mingbin WANG, and Lei MENG, Spectral Collocation Method in the Large Deformation Analysis of Flexible Beam, IAENG International Journal of Applied Maths, vol. 48, no.4 (2018), 416-423. [13] F.Z Nouri, D. ...
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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 Solitary Waves Solutions of the Internal Wave Benjamin Ono Equation
... Using the multi-solitary wave solutions given by solution (9), different kinds of multi-solitary wave interactions can be figured and observed. In this section, based on the obtained exact solutions of the BO ...
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The application of trigonal curve theory to the second order Benjamin Ono hierarchy
... second-order Benjamin-Ono hierarchy with the aid of the theory of trigonal curves [– ...second-order Benjamin-Ono equation [, ...
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COERCIVE SOLVABILITY OF PARABOLIC DIFFERENTIAL EQUATIONS WITH DEPENDENT OPERATORS
... Abstract. We employ the idea of Hirota’s bilinear method, to obtain some new ex- act soliton solutions for high nonlinear form of Multiple soliton solutions of second- order Benjamin-Ono equation. ...
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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 ...
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Traveling Wave Solutions of Nonlinear Evolution Equations Via the New Generalized (G′/G) Expansion Method
... Abstract The exact solutions of nonlinear evolution equations (NLEEs) play a crucial role to make known the internal mechanism of compound physical phenomena. In this article, we implement the new generalized ( G ′ / G ...
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Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the exp(- phi(Xi))-expansion Method
... The exp ( ) -expansion method is a promising method for finding exact traveling wave solutions to nonlinear evolution equations in physical sciences. In this article, we use the exp ( ) -expansion ...
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Solitons And Periodic Solutions To The Generalized Zakharov-Kuznetsov Benjamin-Bona-Mahoney Equation
... Recently, a very powerful mathematical method for finding new exact solutions of NLEEs has been proposed by Kudryashov in [9, 10], called the simplest equation method. This useful method was successfully de- ...
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Local well-posedness for periodic Benjamin equation with small initial data
... Benjamin equation. There is some well- known work as regards the Benjamin type equations; see [–] for ...the Benjamin equation in the non-periodic case were fully discussed by Chen ...
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Solutions to Benjamin-Bona-Mahony Equation in Two Space Dimensions by Various Methods
... BBME equation defined in two space dimensions are determined by implementation of two different ...Sine-Gordon equation in two space dimension is the significant key to set the ...
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Averaging of the 3D non-autonomous Benjamin-Bona-Mahony equation with singularly oscillating forces
... non-autonomous Benjamin-Bona-Mahony equation with singularly oscillating force contrast with the averaged Benjamin-Bona-Mahony equation (corresponding to the limiting case ε = ...
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Rothe’s Fixed Point Theorem and the Controllability of the Benjamin Bona Mahony Equation with Impulses and Delay
... In this section we prove the main result of this paper, the interior controllability of the semilinear BBM Equation with impulses and delay given by (1), which is equivalent to prove the approximate ...
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Colouring Benjamin
... and Benjamin are the most prominent authors. Benjamin has a chapter entirely devoted to him (chapter 12: ‘The Red Butterfly’); Proust even gets a whole section of the book (part 3: ‘Color in Proust’, ...The ...
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Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$
... wave equation. K. Ono [9], for δ ≥ 0, has proved global existence, decay estimates, asymptotic stability and blow up results for a degenerate non-linear wave equation of Kirchhoff type with a strong ...
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Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev Petviashvili Benjamin Bona Mahony Equation
... In the present paper, we would like to focus on KP-BBM equation. It has a Hirota bilinear form, and so, we will do a search for the positive quadratic function solutions to the corresponding bilinear KP-BBM ...
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