Keyword

nonlinear evolution equations

Description: Differential equations describing the time evolution of systems with nonlinear dynamics, studied in mathematical physics and applied mathematics.

Primary topic: Nonlinear Waves and Solitons (60%)

Related topic: Nonlinear Waves and Solitons (60%)

OpenAlex ID: keywords/nonlinear-evolution-equations

Solitons, Nonlinear Evolution Equations and Inverse Scattering

1991 · M. A. Ablowitz, P. A. Clarkson · Cambridge University Press eBooks · 6,119

Solitons and the Inverse Scattering Transform

1981 · Mark J. Ablowitz, Harvey Segur · Society for Industrial and Applied Mathematics eBooks · 4,891

Darboux Transformations and Solitons

1991 · Vladimir B. Matveev, Mikhail A. Salle · Springer series in nonlinear dynamics · 3,550

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

1974 · Mark J. Ablowitz, David J. Kaup, et al. · Studies in Applied Mathematics · 3,193

Long-scale evolution of thin liquid films

1997 · Alexander Oron, Stephen H. Davis, et al. · Reviews of Modern Physics · 2,926

Gradient Flows: In Metric Spaces and in the Space of Probability Measures

2005 · Luigi Ambrosio, Nicola Gigli, et al. · 2,275

Nonlinear semigroups and differential equations in Banach spaces

1976 · Viorel Barbu · Springer eBooks · 2,242

The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

2007 · Mingliang Wang, Xiangzheng Li, et al. · Physics Letters A · 1,954

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

1993 · J. Bourgain · Geometric and Functional Analysis · 1,549

An exact solution for a derivative nonlinear Schrödinger equation

1978 · David J. Kaup, Alan C. Newell · Journal of Mathematical Physics · 1,353

Partial Differential Equations and Solitary Waves Theory

2009 · Abdul-Majid Wazwaz · Nonlinear physical science · 1,326

Sturm-Liouville Operators and Applications

1986 · Vladimir A. Marchenko · Operator theory · 1,182

Quantization of Lie Groups and Lie Algebras

1988 · L.D. Faddeev, N.Yu. Reshetikhin, et al. · Elsevier eBooks · 1,138

Dynamics of Evolutionary Equations

2002 · George R. Sell, Yuncheng You · Applied mathematical sciences · 1,124

Nonlinear-Evolution Equations of Physical Significance

1973 · Mark J. Ablowitz, David J. Kaup, et al. · Physical Review Letters · 1,092

The tanh method: I. Exact solutions of nonlinear evolution and wave equations

1996 · Willy Malfliet, Willy Hereman · Physica Scripta · 1,051

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Oscillating Patterns in Image Processing and Nonlinear Evolution Equations

2001 · Yves Meyer · University lecture series · 1,041

A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

1980 · M. J. Ablowitz, A. Ramani, et al. · Journal of Mathematical Physics · 1,006

Solitary wave solutions for variant Boussinesq equations

1995 · Mingliang Wang · Physics Letters A · 970

Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems

1990 · Ioana Cioranescu · Springer eBooks · 952

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

1993 · J. Bourgain · Geometric and Functional Analysis · 861

Exact solutions for a compound KdV-Burgers equation

1996 · Mingliang Wang · Physics Letters A · 857

Soliton solutions of a coupled Korteweg-de Vries equation

1981 · Ryogo Hirota, Junkichi Satsuma · Physics Letters A · 831

An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations

1996 · E.J. Parkes, B.R. Duffy · Computer Physics Communications · 830

Nonlinear semigroups and evolution equations

1967 · Tosio KATO · Journal of the Mathematical Society of Japan · 817

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Works count: 18,950

Citation count: 297,500