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Article
The Defocusing Nonlinear Schrödinger Equation with a Nonzero Background: Painlevé Asymptotics in Two Transition Regions
In this paper, we address the Painlevé asymptotics of the solution in two transition regions for the defocusing nonlinear Schrödinger (NLS) equation with finite density initial data
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Article
Long Time Asymptotic Behavior for the Nonlocal mKdV Equation in Solitonic Space–Time Regions
We study the long time asymptotic behavior for the Cauchy problem of an integrable real nonlocal mKdV equation with nonzero initial data in the solitonic regions
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Article
Whitham Hierarchy and Generalized Picard–Fuchs Operators in the N=2 Susy Yang–Mills Theory for Classical Gauge Groups
We derive infinitely many meromorphic differentials based on the fractional powers of the superpotential arising from hyperelliptic curves. We obtain various differential equations expressed in terms of the mo...
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Article
BRST Formalism in Self-Dual Chern-Simons Theory with Matter Fields
We apply BRST method to the self-dual Chern-Simons gauge theory with matter fields and the generators of symmetries of the system from an elegant Lie algebra structure under the operation of Poisson bracket. W...
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Article
The Initial-boundary Value Problem for the Ostrovsky-Vakhnenko Equation on the Half-line
We analyze an initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. This equation can be viewed as the short wave model for the Degasperis-Procesi (DP) equation. We show that th...
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Article
Long-time Asymptotic for the Derivative Nonlinear Schrödinger Equation with Step-like Initial Value
We study long-time asymptotics of the solution to the Cauchy problem for the Gerdjikov-Ivanov type derivative nonlinear Schrödinger equation ...
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Article
Super quasiperiodic wave solutions and asymptotic analysis for \( \mathcal{N} = 1 \) supersymmetric KdV-type equations
Based on a general multidimensional Riemann theta function and the super Hirota bilinear form, we extend the Hirota method to construct explicit super quasiperiodic (multiperiodic) wave solutions of ...
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Article
A Lattice Hierarchy with a Free Function and Its Reductions to the Ablowitz-Ladik and Volterra Hierarchies
By embedding a free function into a compatible zero curvature equation, we propose a lattice hierarchy with the free function which still admits zero curvature representation. It is interesting that the hierar...
