D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 46 Citations 10,433 153 World Ranking 963 National Ranking 12

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His primary areas of investigation include Mathematical physics, Soliton, Korteweg–de Vries equation, Mathematical analysis and Partial differential equation. Junkichi Satsuma combines subjects such as Conserved quantity and Classical mechanics with his study of Soliton. His biological study spans a wide range of topics, including Kadomtsev–Petviashvili equation, Dispersionless equation and Inverse scattering transform.

His Inverse scattering transform research incorporates elements of Burgers' equation and Nonlinear Schrödinger equation. His work in Mathematical analysis addresses subjects such as Nonlinear system, which are connected to disciplines such as Initial value problem. His research in Partial differential equation intersects with topics in Toda lattice and Wronskian.

His most cited work include:

  • B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive Media (630 citations)
  • Soliton solutions of a coupled Korteweg-de Vries equation (612 citations)
  • From soliton equations to integrable cellular automata through a limiting procedure. (454 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Mathematical analysis, Soliton, Mathematical physics, Integrable system and Korteweg–de Vries equation. Much of his study explores Mathematical analysis relationship to Nonlinear system. His Soliton research is multidisciplinary, incorporating elements of Bilinear form, Classical mechanics and Cellular automaton.

His Mathematical physics study integrates concerns from other disciplines, such as Transformation, Nonlinear Schrödinger equation, Bilinear interpolation and sine-Gordon equation. His work focuses on many connections between Integrable system and other disciplines, such as Algebra, that overlap with his field of interest in Hierarchy. His studies examine the connections between Korteweg–de Vries equation and genetics, as well as such issues in Kadomtsev–Petviashvili equation, with regards to Wronskian.

He most often published in these fields:

  • Mathematical analysis (35.62%)
  • Soliton (29.37%)
  • Mathematical physics (28.75%)

What were the highlights of his more recent work (between 2010-2021)?

  • Mathematical analysis (35.62%)
  • Pure mathematics (15.63%)
  • Singularity (10.00%)

In recent papers he was focusing on the following fields of study:

Mathematical analysis, Pure mathematics, Singularity, Gravitational singularity and Integrable system are his primary areas of study. His study looks at the relationship between Mathematical analysis and fields such as Parity, as well as how they intersect with chemical problems. His Pure mathematics research includes themes of Canonical form, Linearization and Differential equation.

The various areas that Junkichi Satsuma examines in his Differential equation study include Sign, Partial differential equation and Wave equation. The Integrable system study combines topics in areas such as Discrete mathematics, Structure and Variables. Junkichi Satsuma has researched Algebraic number in several fields, including Entropy, Iterated function, Computation and Mathematical physics.

Between 2010 and 2021, his most popular works were:

  • Linearizable QRT mappings (23 citations)
  • Singularity confinement and full-deautonomisation: A discrete integrability criterion (18 citations)
  • Discretising the Painlevé equations à la Hirota-Mickens (15 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

The scientist’s investigation covers issues in Mathematical analysis, Applied mathematics, Singularity, Simultaneous equations and Pure mathematics. His study in Integral equation, Essential singularity and Singularity theory is carried out as part of his Mathematical analysis studies. His research in Applied mathematics tackles topics such as Parity which are related to areas like Cellular automaton and Special solution.

His Singularity study combines topics in areas such as Theoretical physics, Entropy, Discrete system and Algebraic number. His research integrates issues of Dynamical systems theory, Independent equation and Affine transformation in his study of Simultaneous equations. His work deals with themes such as Discrete mathematics, Structure, Linearization and Variables, which intersect with Pure mathematics.

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.

Best Publications

B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive Media

Junkichi Satsuma;Nobuo Yajima;Nobuo Yajima.
Progress of Theoretical Physics Supplement (1974)

1055 Citations

B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive Media

Junkichi Satsuma;Nobuo Yajima;Nobuo Yajima.
Progress of Theoretical Physics Supplement (1974)

1055 Citations

Soliton solutions of a coupled Korteweg-de Vries equation

Ryogo Hirota;Junkichi Satsuma.
Physics Letters A (1981)

954 Citations

Soliton solutions of a coupled Korteweg-de Vries equation

Ryogo Hirota;Junkichi Satsuma.
Physics Letters A (1981)

954 Citations

Two‐dimensional lumps in nonlinear dispersive systems

J. Satsuma;M. J. Ablowitz.
Journal of Mathematical Physics (1979)

564 Citations

Two‐dimensional lumps in nonlinear dispersive systems

J. Satsuma;M. J. Ablowitz.
Journal of Mathematical Physics (1979)

564 Citations

From soliton equations to integrable cellular automata through a limiting procedure.

T. Tokihiro;D. Takahashi;J. Matsukidaira;J. Satsuma.
Physical Review Letters (1996)

534 Citations

From soliton equations to integrable cellular automata through a limiting procedure.

T. Tokihiro;D. Takahashi;J. Matsukidaira;J. Satsuma.
Physical Review Letters (1996)

534 Citations

New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

Narimasa Sasa;Junkichi Satsuma.
Journal of the Physical Society of Japan (1991)

456 Citations

New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation

Narimasa Sasa;Junkichi Satsuma.
Journal of the Physical Society of Japan (1991)

456 Citations

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