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Stability and Decay properties of Solitary wave solutions for the generalized BO-ZK equation

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

Studied here is the generalized Benjamin-Ono--Zakharov-Kuznetsov equation $u_t+u^pu_x+\alpha\mathscr{H}u_{xx}+\varepsilon u_{xyy}=0, \quad (x,y)\in\rr^2\!,\;\;t\in \rr^+\!$ in two space dimensions. Here, $\mathscr{H}$ is the Hilbert transform and subscripts denote partial differentiation. We classify when equation (1) possesses solitary-wave solutions in terms of the signs of the constants $\alpha$ and $\varepsilon$ appearing in the dispersive terms and the strength of the nonlinearity. Regularity and decay properties of these solitary wave are determined and their stability is studied.

fields

cs.CR 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

SoK: Post-Quantum Cryptography (PQC) Implementation in Software Systems

cs.CR · 2026-06-03 · unverdicted · novelty 3.0

The paper synthesizes PQC implementation literature across human, organizational, and technological dimensions, identifies an imbalance favoring technology, and proposes the PQC-HOT conceptual model to guide coordinated socio-technical transitions.

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  • SoK: Post-Quantum Cryptography (PQC) Implementation in Software Systems cs.CR · 2026-06-03 · unverdicted · none · ref 35 · internal anchor

    The paper synthesizes PQC implementation literature across human, organizational, and technological dimensions, identifies an imbalance favoring technology, and proposes the PQC-HOT conceptual model to guide coordinated socio-technical transitions.