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- Jerry L. Bona

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
55
Citations
12,817
148
World Ranking
569
National Ranking
297

2013 - SIAM Fellow For fundamental contributions to nonlinear waves.

2013 - Fellow of the American Mathematical Society

2012 - SIAM Fellow For fundamental contributions to nonlinear waves.

1998 - Fellow of the American Association for the Advancement of Science (AAAS)

- Mathematical analysis
- Partial differential equation
- Algebra

His primary scientific interests are in Mathematical analysis, Korteweg–de Vries equation, Partial differential equation, Soliton and Euler equations. His Mathematical analysis study combines topics in areas such as Vries equation, Kondratiev wave and Inviscid flow. His study in Inviscid flow is interdisciplinary in nature, drawing from both Analytic function, Convolution, Fourier transform and Simultaneous equations.

His Korteweg–de Vries equation study integrates concerns from other disciplines, such as Mathematical physics, Boundary value problem, Wave equation, Sobolev space and Plane. His research in Boundary value problem intersects with topics in Basis and Calculus. His biological study spans a wide range of topics, including Internal wave, Scaling and Euler's formula.

- Model Equations for Long Waves in Nonlinear Dispersive Systems (1470 citations)
- The Initial-Value Problem for the Korteweg-De Vries Equation (589 citations)
- Stability and Instability of Solitary Waves of Korteweg-de Vries Type (363 citations)

Mathematical analysis, Korteweg–de Vries equation, Mathematical physics, Boundary value problem and Wave equation are his primary areas of study. His work deals with themes such as Soliton and Plane, which intersect with Mathematical analysis. In his study, Arbitrarily large is strongly linked to Sobolev space, which falls under the umbrella field of Korteweg–de Vries equation.

His research integrates issues of Space, Kadomtsev–Petviashvili equation and Zero in his study of Mathematical physics. His Boundary value problem study combines topics from a wide range of disciplines, such as Inverse scattering problem, Bounded function and Applied mathematics. The Cnoidal wave research Jerry L. Bona does as part of his general Wave equation study is frequently linked to other disciplines of science, such as Dissipative system, therefore creating a link between diverse domains of science.

- Mathematical analysis (63.58%)
- Korteweg–de Vries equation (30.64%)
- Mathematical physics (17.92%)

- Mathematical analysis (63.58%)
- Korteweg–de Vries equation (30.64%)
- Well posedness (4.62%)

His primary areas of study are Mathematical analysis, Korteweg–de Vries equation, Well posedness, Applied mathematics and Pure mathematics. His research in Space and Schrödinger's cat are components of Mathematical analysis. Jerry L. Bona studied Korteweg–de Vries equation and Contraction mapping that intersect with Independent equation.

His studies in Well posedness integrate themes in fields like Plane and Type. The concepts of his Applied mathematics study are interwoven with issues in Finite element method, Numerical approximation, Invariant, Resolution and Sequence. His work on Sobolev space is typically connected to Research council as part of general Pure mathematics study, connecting several disciplines of science.

- Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation (93 citations)
- Dispersive blow-up for nonlinear Schrödinger equations revisited (32 citations)
- Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations (25 citations)

- Mathematical analysis
- Algebra
- Partial differential equation

Jerry L. Bona spends much of his time researching Korteweg–de Vries equation, Mathematical physics, Applied mathematics, Mathematical analysis and Type. His Korteweg–de Vries equation research is multidisciplinary, incorporating perspectives in Initial value problem, Approximations of π, Order and Discontinuous Galerkin method. His Mathematical physics research incorporates elements of Space, Soliton, Conservation law and Dispersionless equation.

Jerry L. Bona combines subjects such as Euler system, Euler equations and Calculus with his study of Applied mathematics. His Mathematical analysis research includes themes of Dispersion and Rogue wave. Jerry L. Bona has included themes like Traveling wave, Combinatorics and Spatial variable in his Type study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Model Equations for Long Waves in Nonlinear Dispersive Systems

Thomas Brooke Benjamin;J. L. Bona;J. J. Mahony.

Philosophical Transactions of the Royal Society A **(1972)**

2517 Citations

The Initial-Value Problem for the Korteweg-De Vries Equation

J. L. Bona;R. Smith.

Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences **(1975)**

964 Citations

Stability and Instability of Solitary Waves of Korteweg-de Vries Type

J. L. Bona;P. E. Souganidis;W. A. Strauss.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1987)**

514 Citations

On the stability theory of solitary waves

J. Bona.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1975)**

477 Citations

Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation

Jerry L. Bona;Robert L. Sachs.

Communications in Mathematical Physics **(1988)**

386 Citations

Nonlocal models for nonlinear, dispersive waves

L. Abdelouhab;J. L. Bona;M. Felland;M. Felland;J. C. Saut.

Physica D: Nonlinear Phenomena **(1990)**

341 Citations

Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory

J. L. Bona;M. Chen;J. C. Saut.

Nonlinearity **(2004)**

331 Citations

An evaluation of a model equation for water waves

J. L. Bona;W. G. Pritchard;L. R. Scott.

**(1981)**

315 Citations

Long Wave Approximations for Water Waves

Jerry L. Bona;Thierry Colin;David Lannes.

Archive for Rational Mechanics and Analysis **(2005)**

310 Citations

A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain

Jerry L. Bona;Shu Ming Sun;Bing-Yu Zhang.

Journal of Differential Equations **(2009)**

295 Citations

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