Results 31 to 40 of about 547 (67)

Extended Soliton Solutions in an Effective Action for SU(2) Yang-Mills Theory [PDF]

, 2006
The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) $\sigma$ model in three dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of SU(2) Yang-Mills theory.
Sawado, Nobuyuki, Shiiki, Noriko, Tanaka, Shingo   +2 more
core   +3 more sources

The initial-value problem for a Gardner-type equation

Advanced Nonlinear Studies
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry, Chen Hongqiu, Guerrero Pamela, Haidau Cristina, Pantic Sanja   +4 more
doaj   +1 more source

Ward's solitions

, 1997
Using the `Riemann Problem with zeros' method, Ward has constructed exact solutions to a (2+1)-dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering.
Anand, Christopher Anand, Hitchin, Ward
core   +1 more source

Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice [PDF]

, 2007
We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus $k$. We also discuss particular cases when the quasiperiodic solutions become periodic ones.
Gerdjikov, Vladimir S., Kostov, Nikolay A., Valchev, Tihomir I.   +2 more
core   +6 more sources

Ground state solutions to singularly perturbed Chern-Simons-Schrödinger systems with a neutral scalar field

Demonstratio Mathematica
In this paper, we consider the following singularly perturbed Chern-Simons-Schrödinger systems(P) −ε2Δu+e2|A|2+V(x)+2eA0+21+κq2Nu+q|u|p−2u=0, −ε2ΔN+κ2q2N+q1+κq2u2=0, εκ∂1A2−∂2A1=−eu2,∂1A1+∂2A2=0, εκ∂1A0=e2A2u2,εκ∂2A0=−e2A1u2, $$\begin{cases}\quad \hfill &
Deng Jin
doaj   +1 more source

The equations of some dispersionless limit [PDF]

, 1995
This short article presents a table of new equations which can be regarded as the generalized equations of the dispersionless limit of several nonlinear equations.
Son, Seung Hwan
core   +1 more source

On new types of integrable 4-wave interactions

, 2012
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on two or more additional variables. Using Zakharov-Shabat theorem we are able to construct a family of ordinary differential operators for which ...
Gerdjikov, Vladimir S.
core   +1 more source

Local well-posedness for the two-component Benjamin-Ono equation

Advances in Nonlinear Analysis
The Cauchy problem for the two-component Benjamin-Ono equation is considered. It is shown that this problem is local well-posed in Hs(R)×Hs(R){H}^{s}\left({\mathbb{R}})\times {H}^{s}\left({\mathbb{R}}) for any s>9⁄8s\gt 9/8.
Zhao Min
doaj   +1 more source

Dissipative perturbations for the K(n,n) Rosenau-Hyman equation

, 2012
Compactons are compactly supported solitary waves for nondissipative evolution equations with nonlinear dispersion. In applications, these model equations are accompanied by dissipative terms which can be treated as small perturbations.
Abassy, Antonova, Bertozzi, Bin, Biswas, Biswas, Biswas, Cardenas, Cooper, Cooper, Cooper, de Frutos, Dey, Drazin, Ebadi, Fernandez, Francisco R. Villatoro, Johnson, Julio Garralón, Kardashov, Kevorkian, Khare, Kivshar, Kivshar, Kovalev, Laila, Lamb, Ludu, McLaughlin, Mihaila, Olver, Pikovsky, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rus, Rus, Rus, Rus, Triki, Zhang   +43 more
core   +1 more source

Genus two KdV soliton gases and their long-time asymptotics

Forum of Mathematics, Sigma
This paper employs the Riemann-Hilbert problem and nonlinear steepest descent method of Deift-Zhou to provide a comprehensive analysis of the asymptotic behavior of the genus two Korteweg-de Vries soliton gases.
Deng-Shan Wang, Dinghao Zhu, Xiaodong Zhu   +2 more
doaj   +1 more source