Collection
Wave Equations
Topical Collection of articles on Wave Equations
Articles (583 in this collection)
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Integrability, bilinearization, Bäcklund transformations and solutions for a generalized variable-coefficient Gardner equation with an external-force term in a fluid or plasma
Authors (first, second and last of 5)
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Generalized extended (2+1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics: analytical solutions, sensitivity and stability analysis
Authors (first, second and last of 5)
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Study of two soliton and shock wave structures by weighted residual method and Hirota bilinear approach
Authors (first, second and last of 6)
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On the integrability, multi-shocks, high-order kinky-breathers, L-lump–kink solutions for the non-autonomous perturbed potential Kadomtsev–Petviashvili equation
Authors (first, second and last of 7)
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Data-driven forward-inverse problems of the 2-coupled mixed derivative nonlinear Schrödinger equation using deep learning
Authors (first, second and last of 6)
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The higher-order positon and breather-positon solutions for the complex short pulse equation
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Effect of weak nonlocal nonlinearity on generalized sixth-order dispersion modulational instability in optical media
Authors (first, second and last of 4)
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Solitons, breathers and rational solutions for the (2 + 1)-dimensional Konopelchenko–Dubrovsky equation
Authors (first, second and last of 5)
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Prediction of self-similar waves in tapered graded index diffraction decreasing waveguide by the A-gPINN method
Authors (first, second and last of 4)
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Lump–soliton, rogue–soliton interaction solutions of an evolution model for magnetized Rossby waves
Authors (first, second and last of 4)
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Coupled circularly polarized electromagnetic soliton states in magnetized plasmas
Authors (first, second and last of 4)
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Soliton colliding in hybrid glass photonic crystal fiber for optical transistor switching
Authors (first, second and last of 5)
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Coupled nonlinear Schrödinger system: role of four-wave mixing effect on nondegenerate vector solitons
Authors (first, second and last of 4)
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A fourth-order nonlinear equation studied by using a multivariate bilinear neural network method
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Propagation dynamics of multipole solitons generated in complex fractional Ginzburg–Landau systems
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Painlevé analysis, auto-Bäcklund transformations, bilinear form and analytic solutions on some nonzero backgrounds for a \((2{+}1)\)-dimensional generalized nonlinear evolution system in fluid mechanics and plasma physics
Authors (first, second and last of 4)
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Characteristic of integrability of nonautonomous KP-modified KP equation and its qualitative studies: soliton, shock, periodic waves, breather, positons and soliton interactions
Authors (first, second and last of 4)
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Spatiotemporally modulated similaritons and composite waves in inhomogeneous system
Authors (first, second and last of 4)
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Exploring localized waves and different dynamics of solitons in (2 + 1)-dimensional Hirota bilinear equation: a multivariate generalized exponential rational integral function approach
Authors (first, second and last of 4)
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A novel (2+1)-dimensional Sawada-Kotera type system: multisoliton solution and variable separation solution
Authors (first, second and last of 4)
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Effects of high dispersion and generalized non-local laws on optical soliton perturbations in magneto-optic waveguides with sextic-power law refractive index
Authors (first, second and last of 5)
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Step-like soliton solutions and dynamic behavior of solitons in the inhomogeneous fiber optics
Authors (first, second and last of 4)
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Spatiotemporal chirped solitary waves to the generalized (\({\textbf {3}}+{\textbf {1}}\))-dimensional nonlinear Schrödinger equation with varying sources under different diffraction and potential functions
Authors (first, second and last of 5)
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Interactions of breathers and rogue wave for the coupled Lakshmanan–Porsezian–Daniel equation
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Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation
Authors (first, second and last of 4)
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Data-driven solitons dynamics and parameters discovery in the generalized nonlinear dispersive mKdV-type equation via deep neural networks learning
Authors (first, second and last of 4)
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