1-dimensional
Painlevé Analysis for (2 + 1) Dimensional Non Linear Schrödinger Equation
... + 1) dimension. The structure and integrability of (2 + 1) dimensional equations have received considerable attention in the last few years [1] ...
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Lie Symmetries, 1 Dimensional Optimal System and Optimal Reductions of (1 + 2) Dimensional Nonlinear Schrödinger Equation
... We will construct optimal systems of the Lie algebra of the both NLSE (1) and its first reduction systems un- der their admitted Lie symmetry groups respectively. Furthermore, we derive twice reductions of NLSE ...
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ONE PARAMETER FAMILY OF ADDITIVE ENERGIES AND MOMENTA IN 1+1 DIMENSIONAL STR
... in 1+1 dimensional space-time, al- lows us to modify slightly the relation between energy/momentum and ...< 1 both the energy and momentum are reduced in high energy limit in comparison ...
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Construction of \((n+1)\) dimensional dual mode nonlinear equations: multiple shock wave solutions for \((3+1)\) dimensional dual mode Gardner type and KdV type
... These types of equations describe the spreading of dual-waves moving simultaneously with interaction phase velocity. The simplified bilinear method with the aid of some Cole– Hopf transformations is used to study (3 + ...
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GENERALIZED (2+1)−DIMENSIONAL BREAKING SOLITON EQUATION
... Our aim from this work is to derive multiple regular soliton solutions and multiple singular soliton solutions for the (2+1)-dimensional equation (1). The modified form of the Hirota’s bilinear ...
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Analytical Treatment of the Evolutionary (1 + 1) Dimensional Combined KdV mKdV Equation via the Novel (G'/G) Expansion Method
... In this letter, the novel (G'/G)-expansion method has been successfully applied to find the exact solution for the (1 + 1)-dimensional combined KdV-mKdV equation. The novel (G'/G)-expansion method is ...
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The Lump Solutions of the (1 + 1) Dimensional Ito Equation
... In this paper, we would like to present the lump solutions of (1 + 1)-dimensional Ito-equation. In Section 2, we mainly introduce the bilinear form of the Ito-equation through tedious transformation. ...
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Critical behaviour of (2+1)-dimensional QED: 1/N-corrections
... where Ψ is taken to be a four component complex spinor. In the presence of N fermion flavours, the model has a U(2N) symmetry. A (parity-invariant) fermion mass term, m ΨΨ , breaks this symmetry to U(N) × U(N). In the ...
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High temperature limits for $(1+1)$ dimensional directed polymer with heavy tailed disorder
... In this article, we prove the validity of this picture on the ξ = 1/2 regime. In other words, we rigorously identify the so called weak disorder regime, where the polymer behaves diffusively. Moreover, in this ...
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Band Gap Simulations of 1-Dimensional Photonic Crystal
... Nanotechnology is a key technology of the 21st century. It investigates very small structures of the size of a few nanometers up to several 100 nanometers. Thus, these structures are often smaller then the wave length ...
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Weak gardens of Eden for 1 dimensional tessellation automata
... maps and then a characterization of those weak Gardens of Eden which are not Garden of Eden for the same class of maps under the additional assumption that the cells of the tessellation [r] ...
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Connectivity of Random 1-Dimensional Networks
... i) Derivation of general formulae for the probability of connectivity and coverage of random one-dimensional networks when inter-node spacings have arbitrary probability densities. Explicit expressions for ...
24
Tensor Network study of the (1+1)-dimensional Thirring Model
... Tensor Network (TN) methods [1–3] provide a non-perturbative tool for studying (lattice) quantum many-body systems. A common ingredient of TN algorithms is an entanglement-based ansatz for the quantum many-body ...
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An Alternate View on Strong Lexicalization in TAG
... − 1)- dimensional tree t over Σ such that r immediately dominates every node n of t along the d-th dimen- ...− 1)-dimensional tree will be clarified in the next ...− 1)-yield of the ...
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On a class of contact Riemannian manifolds
... Theorem 2.1. Let M = (M; η,g) be a contact Riemannian manifold and suppose that R(X,Y )ξ = 0 for all vector fields X,Y on M. Then M is locally the product of (n+ 1)-dimensional flat manifold and an ...
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New Generalized (G'/G) Expansion Method Applications to Coupled Konno Oono Equation
... + 1)-dimensional potential-YTSF equation, the (2 + 1)-dimen- sional Zakharov-Kuznetsov ...+ 1)-dimensional mKdV-ZK equa- tion and the (1 + 1)-dimensional compound ...
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POVM construction: a simple recipe with applications to symmetric states
... + 1-dimensional subspace of permutationally symmetric states corresponds to an experimentally developed and rich class 23, 24 in quantum information ...
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Computational techniques in Turan problems
... + the distinct Given any with and W the subspaces and as dimension formula -dimensional Definition 4: An incidence only if it 1 -dimensional in fact for any 3-dimensional of number q e3F[r] ...
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Volume Integral Mean of Holomorphic Function on Polydisc
... = . It should pointed out here that the Hardy space on polydisc is quite di ff erent from those on spheres. For example, the modulus of functions of Hardy space on n-dimensional complex spheres is integral on real ...
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Rigidity of frameworks on expanding spheres
... + 1), then the number of new edges is d, and it is straightforward to check the row independence of R(G 0 , χ 0 , p 0 ...+ 1 new edges are added, ( ˙ p, r) is ...
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