[PDF] Top 20 A Equation and Its Connections to Nonlinear Integrable System
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A Equation and Its Connections to Nonlinear Integrable System
... q x . Thus the inverse problem to determine q from m , becomes a problem to solve the integro-differential Equation (2). Properties of (2) are discussed in [4] [5] [6] [7]. To construct numerical solvers to this ... See full document
16
Nonlinear connections and spinor geometry
... associated nonlinear connection (in brief, ...and its generalizations [75, 79, 80, 94, 95, 96, 97, 98, 99, 100, 102, 103, 104, 105, 109, 110, 111], for instance, in the metric-affine [19, 23, 56] ... See full document
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The Quench Map in an Integrable Classical Field Theory: Nonlinear Schrödinger Equation
... Beyond this extension to the finite density case in the classical case, we now argue that a substantial part of our findings could be quantized and perhaps help with the quantum quench problem. Indeed, there is a notion ... See full document
35
The quench map in an integrable classical field theory: nonlinear Schrödinger equation
... Beyond this extension to the finite density case in the classical case, we now argue that a substantial part of our findings could be quantized and perhaps help with the quantum quench problem. Indeed, there is a notion ... See full document
37
The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure
... of integrable nonlinear evolution equations, such as the Schroedinger equation and the KdV equation, were ...of integrable couplings was first intro- duced by Virasoro [4, 5]. ... See full document
17
Hidden Symmetries of Lax Integrable Nonlinear Systems
... of nonlinear dynamical systems on functional manifolds and their relationships to Lax integrability are ...constructing nonlinear Lax integrable dynamical systems by means of Lie-algebraic tools and ... See full document
22
Methods of Integrable Systems, Geometry, Applied Mathematics (MISGAM)
... Unitary matrix integrals play a big role. Similarly, integrals over symmetric spaces, like Grassmannians, lead to a variety of important matrix models, which satisfy nonlinear integrable differential ... See full document
12
Two New Integrable Hierarchies and Their Nonlinear Integrable Couplings
... classical integrable sys- tems. Thereinto, integrable coupling, as an extension of the integrable equation, was formulated and initialized with the clarity of the inner relationship between ... See full document
17
Modulational instability and higher order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers
... coefficients nonlinear Schrödinger equation, which plays an impor- tant role in the control of the ultrashort optical pulse propagation in nonlinear optical systems ...coupled nonlinear ... See full document
17
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
... to its full extent in the development of the so-called unified method of Fokas for initial-boundary value problems ...of integrable systems to tackle the question of Liouville integrability for a NLEE with ... See full document
26
A Finite Dimensional Integrable System Related to the Complex 3 × 3 Spectral Problem and the Coupled Nonlinear Schrödinger Equation
... completely integrable system is ...tion equation hierarchy, one of which is often referred to on the literature as the coupled nonlinear Schrödinger equation: ... See full document
6
Lagrangian and Hamiltonian structures in an integrable hierarchy and space–time duality
... to its full extent in the development of the so-called unified method of Fokas for initial-boundary value problems ...of integrable systems to tackle the question of Liouville integrability for a NLEE with ... See full document
25
Interaction Of Higher Order Dromion in (2+1) Dimensional Long Dispersive Wave Equation Using PTA
... of integrable models in (2+1) dimensions can be attributed to the identification of dromions in the Davey-Stewartson I equation ...dimensional integrable models leading to the formation of localized ... See full document
6
Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation
... of integrable coupling system of soliton equations has attracted much ...The integrable couplings originate from the work on perturbations around solutions of evolution equations [9], and the ... See full document
7
Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system
... completely integrable with a bi-Hamiltonian and a Lax pair. Moreover, its traveling wave solutions include both the KdV solitons and the CH peakons as limiting cases ...DGH equation has been ... See full document
11
Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type
... [20, 27]). Random fixed point theory was initiated in 1950s by Prague school of proba- bilists. Spacek [35] and Hans [17] established a stochastic analogue of the Banach fixed point theorem in a separable complete metric ... See full document
24
Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation
... Taking into account [6], we have the hypothesis given in the enunciate of the theorem. In accordance with the previous results, we can construct a variety of families of Riccati equations in standard form that are ... See full document
15
Symmetry Reduction and Explicit Solutions of the (2 + 1) Dimensional DLW Equation
... Utilizing the Clarkson-Kruskal direct method, the symmetry of the (2 + 1)-dimensional dispersive long wave equation is derived. From which, through solving the characteristic equations, four types of the explicit ... See full document
7
Localized Dromion Solution Using Painleve Truncation Approach
... dimensional system namely Painleve Truncation Approach (PTA) ...evolution equation into a multi linear equation in terms of non characteristic ...linear equation can be solved in terms of ... See full document
5
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations
... where F v w G v w H v w I v w J v w n ( , , ) n ( , , ) n ( , , ) ( n , , ) ( n , ) and K v w n ( , ) are Adomian polynomials they represent nonlinearities arising in above system [Equation (4.26), ... See full document
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