Lax pair
Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension
... To conclude, we have firmly established the complete integrability of (2+1)–dimensional nonlinear evolution equation, the given equation is known to be completely integrable in sense of Painlev´e property and existence ...
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Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation
... Abstract: An integrable coupling of the known integrable differential-difference equation and its Lax pair are presented. Based on the gauge transformation between the corresponding four-by- four matrix ...
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Similarity Solution of (2+1)-Dimensional Calogero-Bogoyavlenskii-Schiff Equation Lax Pair
... In this section, the Singular Manifold Method is applied to find the BT and Lax pair for the (2+1) dimensional CBS equation (1). Singular Manifold Method is an inverse solution [30-32] of nonlinear partial ...
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Quaternionic representation of the moving frame for surfaces in Euclidean three space and Lax pair
... The study of surfaces in three- and higher-dimensional spaces has seen a resurgence of interest recently due to various applications of these surfaces to various areas of mathematical physics, especially to the area of ...
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Lax pair and super-Yangian symmetry of the nonlinear super-Schrodinger equation
... previous Lax pair formulation so that we have a realization of the generators of the super-Yangian symmetry for the hierarchy associated to the nonlinear super-Schro¨dinger equation in terms of the ZF ...
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Lax pair for strings in Lunin Maldacena background
... background with all the supergravity fields included. To this end one can try to use the rules of T-duality formulated in [47] for the Green-Schwarz superstring. Then, the approach used in section 3 of this paper should ...
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N Fold Darboux Transformation for a Nonlinear Evolution Equation
... Lax pair given in [16]. We construct the N-fold DT for the Lax pair, which simplifies the complicated process of iterating 1-fold form Darboux matrix and gives the rela- tionship between the ...
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On the origin of dual Lax pairs and their r-matrix structure
... a Lax pair can be cast in two distinct, dual Hamiltonian formulations; (ii) Associated to each formulation is a Poisson bracket and a phase space (which are not compatible in the sense of Magri); (iii) Each ...
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On Lax pairs and matrix extended simple Toda systems
... a Lax pair preserving the origi- nal coordinates splitting have been ...new Lax equations, which can also be associated to other integrable ...of Lax matrices (or operators) leading to ...
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G(2)-Calogero-Moser Lax operators from reduction
... coupling constants depending on whether the potential involves roots which are mapped to long or short roots. This relation is dictated by the Lax pair construction, and coincides with the one found by ...
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Moyal Lax Integrability Of Standard And Pseudo Hierarchy Equations
... the Lax pair representation in higher order of special integrable systems namely the KdV and Burgers ...the Lax generating technics applied to Burgers ...
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Darboux Transformation and New Multi Soliton Solutions of the Whitham Broer Kaup System
... the Lax pair (4) and (5) is transformed into the Lax pair (8) and (9), then the transformation (6) and (18): ( ϕ ; , q r ) ( → ϕ ; , q r ) is called the DT of the Lax pair (4) ...
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Closed form solution for p-curves in SO(4)
... Abstract —This paper describes the solution for p-curves in SO (4) and gives its closed form. The rotational symmetry was exploited in order to simplify the algebra. The relationship between the Casimir invariant ...
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ΖN graded discrete Lax pairs and integrable difference equations
... spectral parameter. We give a classification scheme for such Lax pairs and the associated integrable lattice systems. We present two potential forms and completely classify the generic case. Many well known ...
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Comparison of MOC and Lax FDE for simulating transients in Pipe Flows
... The variation in discharge and pressure head can be studied by solving the governing equations for hydraulic transients in a pipe using the Method of Characteristics for discretization of the partial differential ...
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Using LaX scintillator in a new low-background Compton telescope
... employing LaX scintillators for the calorimeter, one can take advantage of the unique speed and resolving power of the material to improve the instrument sensitivity and simultaneously enhance its spectroscopic ...
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Plant embryogenesis requires AUX/LAX mediated auxin influx
... The plant hormone auxin and its directional transport are known to play a crucial role in defining the embryonic axis and subsequent development of the body plan. Although the role of PIN auxin efflux transporters has ...
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Broken promises: the politics of lax enforcement of tax laws in Egypt
... Microsoft Word PhD final corrected changes accepted copy docx 1 The London School of Economics and Political Science Broken Promises – The Politics of Lax Enforcement of Tax Laws in Egypt Moritz Schmo[.] ...
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ZN graded discrete Lax pairs and Yang-Baxter maps
... Lax pairs were defined for Yang-Baxter maps in [10, 9]. A matrix L(x, a), with x ∈ X, depending upon the YB parameter a and the spectral parameter λ is used to define the equation: L(x ′ , a)L(y ′ , b) = L(y, ...
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Rethinking the Rhetoric of Antidumping: A Response to Mark Wu's Reform Proposal
... Wu’s reform proposal is also problematic because it introduces a fairness test into the WTO regulations on AD. As mentioned earlier, the definition of fairness is hardly settled. Various theories and models have evolved ...
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