[PDF] Top 20 Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials
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Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials
... the nonlinear stability, we directly compute the (2+1) dimensional NLS equation with kerr, quintic and saturable nonlinearities over a long time, (finite difference method was used on derivatives u xx and u ... See full document
7
Localised nonlinear optical modes and the corresponding support structures: exact solutions to the nonlinear Schrodinger equation with external potentials
... Microwave radiometry antennas in breast cancer early diagnosis Numerical Simulation of Heating Characteristics in a New Microwave Coaxial-Slot Antenna for Cancer Therapy Structure of cyl[r] ... See full document
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Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two dimensional spaces
... derivative nonlinear Schrödinger equations which do not satisfy the gauge ...the nonlinear term implies the so-called derivative loss and the absence of the gauge condition makes it difficult to ... See full document
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Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations
... with potentials V bounded away from ...vanishing potentials were treated for in- stance by Bonheure et ...positive solutions around global minimum points of an auxiliary function and even around some ... See full document
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Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in \(\mathbb{C}_{+}\)
... the two-dimensional Schrö- dinger equations can be expressed by using a variational ...mechanics, nonlinear program- ming, physics, optimization and control, economics, transportation, finance, ... See full document
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Lie Symmetries, One Dimensional Optimal System and Optimal Reduction of (2 + 1) Coupled nonlinear Schrödinger Equations
... 2D-CNLS equations is derived which covered the results obtained in ...one- dimensional optimal system of an 8-dimensional subalgebra 8 , presented in [9], of the ∞ is ...reduced equations ... See full document
15
Multiple soliton solutions and a generalized double Wronskian determinant to the \((2+1)\) dimensional nonlinear Schrödinger equations
... searching exact solutions to soliton ...construct exact solutions ...rational solutions and complexitons in terms of double Wronskian forms for the AKNS ...soliton solutions to ... See full document
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Exact spatiotemporal soliton solutions to the generalized three dimensional nonlinear Schrödinger equation in optical fiber communication
... differential equations. In Section , several periodic trav- eling wave solutions are derived and some examples, which demonstrate the propagation characteristics of the spatiotemporal solitons, are ... See full document
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Multiple solutions of discrete Schrödinger equations with growing potentials
... discrete nonlinear Schrödinger equation is one of the most important discrete mod- els, which plays an important role in many fields; for example, in biomolecular chains [], nonlinear optics [], ... See full document
14
Symmetry reduction and exact solutions of two higher dimensional nonlinear evolution equations
... meromorphic solutions w of equation (16) have at least one ...meromorphic solutions, and their multiplicity of the pole at z = 0 is q, then equation (16) is said to satisfy the p, q ... See full document
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The Pfaffian Technique: A (2 + 1) Dimensional Korteweg de Vries Equation
... It is known that many nonlinear evolution equations have soliton solutions, such as the Korteweg de Vries equation, the Sin-Gordon equation, the nonlinear Schrödinger equation, the Kadom[r] ... See full document
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On Two-Dimensional Variable Viscosity Fluid Motion with Body Forcefor Intermediate Peclet Number Via von-Mises Coordinates
... New Exact Solution of equations for Motion of Variable Viscosity Fluid In presence of Body Force with Moderate Peclet number, International Journal of Fluid Mechanics and Thermal Sciences, 2018, 4 (3) 27- ... See full document
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Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki–Lions type nonlinearity
... an external potential appears in many models in mathematical physics, especially in the study of particles on stochastic fields modeled by Lévy processes, see ... See full document
24
Existence of positive solutions for a critical nonlinear Schrödinger equation with vanishing or coercive potentials
... Equation (.) arises in various applications, such as chemotaxis, population genetics, chemical reactor theory and the study of standing wave solutions of certain nonlinear Schrödinger ... See full document
30
Existence of Ordered Solutions to Quasilinear Schrödinger Equations with General Nonlinear Term
... But Lemma 4.1 ensures that the trivial solution is an isolated solution of problem (2). Hence a second independent solution of problem (2) should exist since the solution found in Lemma 4.2 is a local minimum of I . In ... See full document
17
Traveling Wave Solutions of Nonlinear Klein-Gordon Equation by Extended (G/G')-expansion Method
... auxiliary equations. A. Sousaraie [25] investigated traveling wave solutions for non- linear Klein-Gordon equation by using G / ′ G − expansion method with help of Auxiliary equation G ′′ + λ G ′ + µ G = 0 ... See full document
7
Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms
... many solutions; see ...nonnegative solutions to critical Kirch- hoff ...with two types of nonlocal terms has been studied; see [, ...p-Kirchhoff equations was considered. The sign-changing ... See full document
13
Schrödinger equations in noncylindrical domains: exact controllability
... The plan of this paper is as follows. In Section 2, we study the properties of the weak solution of the homogeneous boundary value problem for the formal adjoint L ∗ of the operator of (1.10), which is calculated in ... See full document
29
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... Examples In this section, we give some examples on our approach for reduction and finding solutions of nonlinear second order ordinary differential equations, these equations and more eq[r] ... See full document
5
On Plane Motion of Incompressible Variable Viscosity Fluids with Moderate Peclet Number in Presence of Body Force Via Von-Mises Coordinates
... flow equations in non-dimensional form and transforms them into Martin system ( , ) φ ψ ...basic equations to von-Mises coordinates. The exact solutions to the problem in presence of ... See full document
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