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April 7, 2026International Journal of Bifurcation and Chaos

Exact Traveling Wave Solutions of a KdV–SIdV Family

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Authors

HLHanze LiuJLJing Li

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Overview

This research derives exact wave solutions in a KdV–SIdV family, suggesting new insights for wave dynamics.

Key Points

  • The central aim is to derive explicit solitary and periodic wave solutions for a KdV–SIdV family using dynamical systems.
  • Utilized the method of dynamical systems to analyze wave solutions.
  • Obtained phase portraits for the corresponding traveling wave dynamical system.
  • Derived parametric representations for a variety of wave solutions, including solitary and periodic waves.
  • Successfully derived explicit solitary wave and periodic wave solutions.
  • Identified parametric representations for smooth wave solutions, kink, and anti-kink wave solutions.
  • Demonstrated distinct phase portraits corresponding to various wave types.

Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/69d49f8ab33cc4c35a227f62https://doi.org/10.1142/s0218127426501245
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Exact Traveling Wave Solutions and Dynamical Behavior of a Generalized KdV–mKdV Equation2026
  2. 2Exact Peakon, Periodic Peakon and Solitary Wave Solutions of the KdV-Like Advection-Dispersion Equation2026
  3. 3Wave solutions to the combined KdV-mKdV equation via two methods with the Riccati equation2024
  4. 4Existence and decay of solitary wave solutions for Korteweg–de Vries-type equations2026
  5. 5Duality family of traveling-wave KdV equation2026