Latest Research in Nonlinear Waves and Solitons

34 research papers · 2026 median publication year

Top Research Topics in Nonlinear Waves and Solitons

Highest-Cited Papers

  1. Delay-induced bifurcations and hyper-chaotic behavior in shallow-water wave dynamics
  2. A truncated Hirota-type approach for wave structures and chaotic dynamics in the time-fractional modified Liouville equation
  3. A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm
  4. On the Existence of Pressure-Equilibrium-Preserving Numerical Fluxes for Supercritical Fluids
  5. A Structural Dismantling of OpenAI's "Finite‑Time blowup for Navier–Stokes"
  6. Phi‑Phase Inverse Collapse in E8 Price Fields — E8 Intelligence Research
  7. Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows
  8. A Structural and Functional Analysis of the Forced Navier–Stokes Blowup Construction Attributed to OpenAI
  9. Resolution of Non-Linear Engineering Dynamics via Seonggil Tensor Calculus (STCT) and Advanced Rough Calculus
  10. Resolution of Non-Linear Engineering Dynamics via Seonggil Tensor Calculus (STCT) and Advanced Rough Calculus
  11. EXISTENCE AND SMOOTHNESS OF NAVIER STOKES
  12. Interference Queueing Networks: A Replica Mean-Field Approach in the Symmetric Setting
  13. Stress-divergence, Laplacian, and rotational forms of the incompressible Navier--Stokes equations with variable viscosity
  14. Exploring the exact soliton solutions and dynamical analysis to the model in fluid dynamics and plasma physics
  15. Forced Navier–Stokes blowup: reconstruction and validation reader (corrected 208-page edition)
  16. Forced Navier–Stokes blowup: reconstruction and validation reader (corrected 208-page edition)
  17. Continuous Revival of the Periodic Schrödinger Equation with Piecewise $C^2$ Potentials
  18. On the variational framework employing optimal control for biochemical thermodynamics
  19. Investigating Rogue Wave Dynamics and Interaction Structures in the KPBBM Model Within the Oceanic Atmosphere
  20. Evolution of instability fronts in sine-Gordon equation dynamics
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L3 Region - - 2026 Sep Q3

Nonlinear Waves and Solitons

34 papers

Top Topics (10)

Nonlinear Waves and Solitons7
Numerical Analysis4
Analysis of PDEs4
Model Reduction and Neural Networks4
Ocean Waves and Remote Sensing2
Probability2
Fluid dynamics and aerodynamics studies1
Complex Systems and Time Series Analysis1
Navier-Stokes equation solutions1
Computational Fluid Dynamics and Aerodynamics1

Top Publications (20)

1.Delay-induced bifurcations and hyper-chaotic behavior in shallow-water wave dynamics2.A truncated Hirota-type approach for wave structures and chaotic dynamics in the time-fractional modified Liouville equation3.A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm4.On the Existence of Pressure-Equilibrium-Preserving Numerical Fluxes for Supercritical Fluids5.A Structural Dismantling of OpenAI's "Finite‑Time blowup for Navier–Stokes"6.Phi‑Phase Inverse Collapse in E8 Price Fields — E8 Intelligence Research7.Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows8.A Structural and Functional Analysis of the Forced Navier–Stokes Blowup Construction Attributed to OpenAI9.Resolution of Non-Linear Engineering Dynamics via Seonggil Tensor Calculus (STCT) and Advanced Rough Calculus10.Resolution of Non-Linear Engineering Dynamics via Seonggil Tensor Calculus (STCT) and Advanced Rough Calculus11.EXISTENCE AND SMOOTHNESS OF NAVIER STOKES12.Interference Queueing Networks: A Replica Mean-Field Approach in the Symmetric Setting13.Stress-divergence, Laplacian, and rotational forms of the incompressible Navier--Stokes equations with variable viscosity14.Exploring the exact soliton solutions and dynamical analysis to the model in fluid dynamics and plasma physics15.Forced Navier–Stokes blowup: reconstruction and validation reader (corrected 208-page edition)16.Forced Navier–Stokes blowup: reconstruction and validation reader (corrected 208-page edition)17.Continuous Revival of the Periodic Schrödinger Equation with Piecewise $C^2$ Potentials18.On the variational framework employing optimal control for biochemical thermodynamics19.Investigating Rogue Wave Dynamics and Interaction Structures in the KPBBM Model Within the Oceanic Atmosphere20.Evolution of instability fronts in sine-Gordon equation dynamics
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