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Stability of solitary waves in dispersive media described by a fifth-order evolution equation

https://doi.org/10.1007/bf00417931
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Methods of Mathematical Physics
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The existence of solitary waves
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The existence of solitary water waves
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Lyapunov stability of ground states of nonlinear dispersive evolution equations
inferredcites →https://doi.org/10.1007/bf00250799openalex-snapshot
On solitary water-waves of finite amplitude
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A theory of solitary water-waves in the presence of surface tension
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On the theory of long waves
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Small internal waves in two-fluid systems
inferredcites →https://doi.org/10.1007/bf01218475openalex-snapshot
Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
inferredcites →https://doi.org/10.1007/bf02738151openalex-snapshot
Recensioni
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Remarks on the Korteweg-de Vries equation
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Fixed-point theorems for Fréchet spaces
inferredcites →https://doi.org/10.1007/bfb0088757openalex-snapshot
Solitary-wave solutions for some model equations for waves in nonlinear dispersive media
inferredcites →https://doi.org/10.1016/0021-8928(60)90071-xopenalex-snapshot
The existence of periodic waves which degenerate into a solitary wave
inferredcites →https://doi.org/10.1016/0022-1236(71)90038-3openalex-snapshot
A regularity theorem for parabolic equations
inferredcites →https://doi.org/10.1016/0022-1236(87)90044-9openalex-snapshot
Stability theory of solitary waves in the presence of symmetry, I
inferredcites →https://doi.org/10.1016/0022-1236(90)90016-eopenalex-snapshot
Stability theory of solitary waves in the presence of symmetry, II
inferredcites →https://doi.org/10.1016/0041-5553(62)90025-3openalex-snapshot
On the theory of steady-state waves of finite amplitude
inferredcites →https://doi.org/10.1016/0167-2789(87)90084-4openalex-snapshot
Sufficient conditions for stability of solitary-wave solutions of model equations for long waves
inferredcites →https://doi.org/10.1016/0167-2789(88)90018-8openalex-snapshot
Structural stability of the Korteweg-de Vries solitons under a singular perturbation
inferredcites →https://doi.org/10.1016/0167-2789(88)90054-1openalex-snapshot
Existence of perturbed solitary wave solutions to a model equation for water waves
inferredcites →https://doi.org/10.1016/0167-2789(89)90050-xopenalex-snapshot
Nonlocal models for nonlinear, dispersive waves
inferredcites →https://doi.org/10.1016/0167-2789(91)90056-fopenalex-snapshot
Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
inferredcites →https://doi.org/10.1017/s0022112066001630openalex-snapshot
Internal waves of finite amplitude and permanent form
inferredcites →https://doi.org/10.1017/s0022112087002854openalex-snapshot
Symmetry breaking in periodic and solitary gravity-capillary waves on water of finite depth
inferredcites →https://doi.org/10.1017/s0305004100054372openalex-snapshot
On the existence theory for irrotational water waves
inferredcites →https://doi.org/10.1017/s0305004100061193openalex-snapshot
The stability of internal solitary waves
inferredcites →https://doi.org/10.1080/03091928908219524openalex-snapshot
The existence of internal solitary waves in a two-fluid system near the KdV limit
inferredcites →https://doi.org/10.1080/03605308708820522openalex-snapshot
Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
inferredcites →https://doi.org/10.1090/s0002-9947-1986-0860375-3openalex-snapshot
A global theory of internal solitary waves in two-fluid systems
inferredcites →https://doi.org/10.1093/imamat/46.1-2.1openalex-snapshot
Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth
inferredcites →https://doi.org/10.1098/rspa.1972.0074openalex-snapshot
The stability of solitary waves
inferredcites →https://doi.org/10.1098/rspa.1975.0106openalex-snapshot
On the stability theory of solitary waves
inferredcites →https://doi.org/10.1098/rspa.1987.0073openalex-snapshot
Stability and instability of solitary waves of Korteweg-de Vries type
inferredcites →https://doi.org/10.1098/rsta.1981.0231openalex-snapshot
On periodic water-waves and their convergence to solitary waves in the long-wave limit
inferredcites →https://doi.org/10.1098/rsta.1990.0065openalex-snapshot
Solitary-wave solutions of nonlinear problems
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Quantum field theory in a colliding plane-wave background
inferredcites →https://doi.org/10.1137/1018114openalex-snapshot
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
inferredcites →https://doi.org/10.1143/jpsj.33.260openalex-snapshot
Oscillatory Solitary Waves in Dispersive Media
inferredcites →https://doi.org/10.1143/jpsj.50.1421openalex-snapshot
On a Solution on Non-Linear Time-Evolution Equation of Fifth Order
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Finite-Amplitude Steady Waves in Stratified Fluids.
inferredcites →https://doi.org/10.2140/pjm.1951.1.353openalex-snapshot
An extension of Tietze’s theorem
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Positive Solutions of Operator Equations.
inferredcites →https://doi.org/10.2307/2372304openalex-snapshot
Degree of Mapping in Convex Linear Topological Spaces
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Topologie et équations fonctionnelles
inferredcites →https://doi.org/10.24033/bsmf.1737openalex-snapshot
The Leray-Schauder index and the fixed point theory for arbitrary ANRs
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On the Interaction Between Surface and Internal Waves

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Conditional stability of solitary waves propagating in elastic rods
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