Kouichi Toda

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All published works

Action	Title	Year	Authors
+ PDF Chat	Inelastic Scattering, Emergent Interactions of Solitons in the Zakharov-Kuznetsov Equation through Conservative and non-Conservative Physics-Informed Neural Networks	2024	Atsushi Nakamula Kiori Obuse N. Sawado K. Shimasaki Yasunobu Shimazaki Yutaro Suzuki Kouichi Toda
+ PDF Chat	Discovery of Quasi-Integrable Equations from traveling-wave data using the Physics-Informed Neural Networks	2024	Atsushi Nakamula N. Sawado K. Shimasaki Yasunobu Shimazaki Yutaro Suzuki Kouichi Toda
+ PDF Chat	Mock-integrability and stable solitary vortices	2022	Yukito Koike Atsushi Nakamula Akihiro Nishie Kiori Obuse Nobuyuki Sawado Yamato Suda Kouichi Toda
+ PDF Chat	The International Linear Collider (Report to Snowmass 2021)	2022	Alexander Aryshev T. Behnke M. Berggren J. E. Brau Nathaniel Craig A. Freitas Frank Gaede Spencer Gessner Stefania Gori Christophe Grojean
+	Mock-integrability and stable solitary vortices	2022	Yukito Koike Atsushi Nakamula Akihiro Nishie Kiori Obuse Nobuyuki Sawado Yamato Suda Kouichi Toda
+	The Transformation of Commutative Phase Space to Noncommutative One, and its Lorentz Transformation-Like Forms	2021	Makoto Nakamura Hiroshi Kakuhata Kouichi Toda
+ PDF Chat	The International Linear Collider: Report to Snowmass 2021	2021	Alexander Aryshev T. Behnke M. Berggren J. E. Brau Nathaniel Craig A. Freitas Frank Gaede Spencer Gessner Stefania Gori Christophe Grojean
+ PDF Chat	Generalized Volterra lattices: Binary Darboux transformations and self-consistent sources	2016	Folkert Müller-Hoissen Oleksandr Chvartatskyi Kouichi Toda
+ PDF Chat	Some vortex solutions in the extended Skyrme-Faddeev model	2013	L. A. Ferreira Masahiro Hayasaka Juha Jäykkä Nobuyuki Sawado Kouichi Toda
+	On the exchange formula for multi-linear operators related to integrable nonlinear PDE's	2013	Keiichi Endo H. Kubo Kouichi Toda
+ PDF Chat	Vortices in the extended Skyrme-Faddeev model	2012	L. A. Ferreira Juha Jäykkä Nobuyuki Sawado Kouichi Toda
+	Numerical Nahm transform for 2-caloron solutions	2011	Daichi Muranaka Atsushi Nakamula Nobuyuki Sawado Kouichi Toda
+ PDF Chat	A modified Calogero-Bogoyavlenskii-Schiff equation with variable coefficients and its non-isospectral Lax pair	2011	Tadashi Kobayashi Kouichi Toda
+	Axially symmetric soliton solutions in a Skyrme–Faddeev-type model with Gies's extension	2010	L. A. Ferreira Nobuyuki Sawado Kouichi Toda
+ PDF Chat	Static Hopfions in the extended Skyrme-Faddeev model	2009	L. A. Ferreira Nobuyuki Sawado Kouichi Toda
+	22aVD-1 Non-isospectral problems and higher-dimensional integrable systems	2008	T. Kobayashi L. A. Ferreira Atsushi Nakamula N. Sawado Kouichi Toda
+	24pWD-8 Non-isospectral problems and integrable equations in (2+1) dimensions	2008	T. Kobayashi Atsushi Nakamula N. Sawado Kouichi Toda
+ PDF Chat	The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients	2006	Tadashi Kobayashi Kouichi Toda
+	A Generalized KdV-Family with Variable Coefficients in (2 + 1) Dimensions	2005	Tadashi Kobayashi Kouichi Toda
+ PDF Chat	Noncommutative Burgers equation	2003	Masashi Hamanaka Kouichi Toda
+ PDF Chat	Towards noncommutative integrable systems	2003	Masashi Hamanaka Kouichi Toda
+	Towards Noncommutative Integrable Equations 1	2003	Masashi Hamanaka Kouichi Toda
+	Towards Noncommutative Integrable Equations	2003	Masashi Hamanaka Kouichi Toda
+	Extensions of Soliton equations to non-commutative (2 + 1) dimensions	2002	Kouichi Toda
+ PDF Chat	A Search for Higher-Dimensional Integrable Modified KdV Equations The Painlevé Approach	2002	Kouichi Toda
+	Note on an extension of the CDF equation to (2 + 1) dimensions	2001	Kouichi Toda Song-Ju Yu
+	A study of the construction of equations in (2 + 1) dimensions	2001	Kouichi Toda Song-Ju Yu
+	Gauge Transformations and Weak Lax Equation	2001	Takeshi Fukuyama Kiyoshi Kamimura Kouichi Toda
+	The Construction of Alternative Modified KdV Equation in (2 +1) Dimensions	2001	Kouichi Toda
+ PDF Chat	The Investigation into New Equations in (2 + 1) Dimensions	2001	Kouichi Toda Song-Ju Yu
+ PDF Chat	The Investigation into New Equations in (2 + 1) Dimensions	2001	Kouichi Toda Song-Ju YU
+	The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions	2000	Kouichi Toda Song-Ju Yu
+	A quest for the integrable equation in 3+1 dimensions	2000	Yu Song-Ju Kouichi Toda Takeshi Fukuyama
+ PDF Chat	Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation	2000	Song-Ju Yu Kouichi Toda
+	The Bogoyavlenskii-Schiff hierarchy and integrable equations in (2 + 1) dimensions	1999	Kouichi Toda Yu Song-Ju Takeshi Fukuyama
+ PDF Chat	<b><i>N</i></b>-soliton solutions to a -dimensional integrable equation	1998	Song-Ju Yu Kouichi Toda Takeshi Fukuyama
+	<b><i>N</i></b>soliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions	1998	Song-Ju Yu Kouichi Toda Narimasa Sasa Takeshi Fukuyama
+	Hierarchy of Higher Dimensional Integrable System	1998	YU Song-Ju Kouichi Toda Takeshi Fukuyama
+	N Soliton Solutions to The Bogoyavlenskii-Schiff Equation and A Quest for The Soliton Solution in (3 + 1) Dimensions	1998	Yu. S. J Kouichi Toda Narimasa Sasa Takeshi Fukuyama

Common Coauthors

Coauthor	Papers Together
Takeshi Fukuyama	7
Nobuyuki Sawado	7
Atsushi Nakamula	7
Song-Ju Yu	7
L. A. Ferreira	5
Masashi Hamanaka	4
N. Sawado	4
Tadashi Kobayashi	3
Kiori Obuse	3
Y. Arai	2
Jean Delayen	2
Douglas Tuckler	2
Justin Anguiano	2
Jan Klamka	2
Finn Tillinger	2
Hiroaki Sugiyama	2
Doojin Kim	2
E. Esarey	2
I. Božović-Jelisavčić	2
Sam Posen	2
A. Grohsjean	2
Francesco Giovanni Celiberto	2
Juha Jäykkä	2
Satoru Sugimoto	2
B. Bilki	2
S. Mihara	2
Shigeru Kashiwagi	2
S. Dawson	2
Taikan Suehara	2
Nataša Vukašinović	2
Shin-Ichi Kawada	2
Tadakatsu Sakai	2
David Newbold	2
Christophe Grojean	2
Yasuhito Sakaki	2
F. Hinode	2
Ian Low	2
M. Miralles Lopez	2
Rocco Paparella	2
Sunghoon Jung	2
Rongli Geng	2
N. Fourches	2
Hikaru Ohta	2
Takuya Yoda	2
Kaoru Yokoya	2
Eisaku Nishiyama	2
James M. Cline	2
Anton Ilderton	2
H. Sert	2
A. Sharma	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	OVERTURNING SOLITONS IN NEW TWO-DIMENSIONAL INTEGRABLE EQUATIONS	1990	O I Bogoyavlenskiĭ	12
+	The Painlevé property for partial differential equations	1983	John Weiss M. Tabor G. F. Carnevale	10
+	<b><i>N</i></b>soliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions	1998	Song-Ju Yu Kouichi Toda Narimasa Sasa Takeshi Fukuyama	9
+	A method to generate solvable nonlinear evolution equations	1975	F. Calogero	8
+	Integrals of nonlinear equations of evolution and solitary waves	1968	Peter D. Lax	8
+	Spectral Transform and Solitons	1983	F. Calogero	8
+	The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions	2000	Kouichi Toda Song-Ju Yu	6
+ PDF Chat	<b><i>N</i></b>-soliton solutions to a -dimensional integrable equation	1998	Song-Ju Yu Kouichi Toda Takeshi Fukuyama	6
+	BREAKING SOLITONS. III	1991	O I Bogoyavlenskiĭ	6
+	Some new integrable nonlinear evolution equations in 2 + 1 dimensions	1984	B. G. Konopelchenko V. G. Dubrovsky	5
+	A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I	1975	В. Е. Захаров A. B. Shabat	5
+ PDF Chat	Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation	2000	Song-Ju Yu Kouichi Toda	5
+ PDF Chat	Noncommutative Instantons via Dressing and Splitting Approaches	2002	Z. Horvȧth Olaf Lechtenfeld Martin Wolf	4
+ PDF Chat	HOPF SOLITON SOLUTIONS FROM LOW ENERGY EFFECTIVE ACTION OF SU(2) YANG–MILLS THEORY	2006	Nobuyuki Sawado Noriko Shiiki Shingo Tanaka	4
+ PDF Chat	Exact vortex solutions in an extended Skyrme-Faddeev model	2009	L. A. Ferreira	4
+ PDF Chat	Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory	1998	Richard A. Battye Paul Sutcliffe	4
+ PDF Chat	Partially Dual Variables in SU(2) Yang-Mills Theory	1999	Ludvig Faddeev Antti J. Niemi	4
+ PDF Chat	Stable knot-like structures in classical field theory	1997	Lyudvig Dmitrievich Faddeev Antti J. Niemi	4
+ PDF Chat	Wilsonian effective action for SU(2) Yang-Mills theory with the Cho-Faddeev-Niemi-Shabanov decomposition	2001	Holger Gies	4
+	Exact Noncommutative KP and KdV Multi-solitons	2001	L. D. Paniak	4
+ PDF Chat	Static solitons with nonzero Hopf number	1997	J. Gladikowski Meik Hellmund	4
+	Noncommutative Generalized NS and Super Matrix KdV Systems from a Noncommutative Version of (Anti-) Self-Dual Yang-Mills Equations	2000	Martin Legaré	4
+	On the quasi-hamiltonian formalism of the KdV equation	1988	George Wilson	4
+ PDF Chat	Faddeev-Hopf knots: dynamics of linked un-knots	1999	Jarmo Hietarinta Petri Salo	4
+ PDF Chat	INTEGRABLE THEORIES AND LOOP SPACES: FUNDAMENTALS, APPLICATIONS AND NEW DEVELOPMENTS	2009	Orlando Alvarez L. A. Ferreira J. Sánchez-Guillén	4
+	Extensions of Soliton equations to non-commutative (2 + 1) dimensions	2002	Kouichi Toda	4
+	A new approach to integrable theories in any dimension	1998	Orlando Alvarez L. A. Ferreira J. Sánchez-Guillén	4
+ PDF Chat	Monopoles and strings in noncommutative gauge theory	2000	David J. Gross Nikita Nekrasov	3
+	Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold	1983	Mikio Sato	3
+	Lie and non-Lie symmetry and some exact solutions of the self-dual equations	1999	Valerii Stognii	3
+ PDF Chat	A lattice study of the Faddeev-Niemi effective action	2002	Leander Dittmann T. Heinzl Andreas Wipf	3
+ PDF Chat	Bi-differential calculi and integrable models	2000	Aristophanes Dimakis Folkert Müller-Hoissen	3
+	Burgers' equation in non-commutative space-time	2003	Oktay K. Pashaev	3
+	Integrability of Chern-Simons-Higgs Vortex Equations and a Reduction of the Self-Dual Yang-Mills Equations to Three Dimensions	1992	Jeremy Schiff	3
+	The Noncommutative sine-Gordon system	2001	Marcus T. Grisaru Silvia Penati	3
+	The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative	1983	John Weiss	3
+	Integrable and solvable systems, and relations among them	1985	R. S. Ward	3
+	A study of the construction of equations in (2 + 1) dimensions	2001	Kouichi Toda Song-Ju Yu	3
+ PDF Chat	Hidden symmetry and knot solitons in a charged two-condensate Bose system	2002	Egor Babaev Ludvig Faddeev Antti J. Niemi	3
+ PDF Chat	Dual Neutral Variables and Knot Solitons in Triplet Superconductors	2002	Egor Babaev	3
+ PDF Chat	Static Hopfions in the extended Skyrme-Faddeev model	2009	L. A. Ferreira Nobuyuki Sawado Kouichi Toda	3
+ PDF Chat	TRIESTE LECTURES ON SOLITONS IN NONCOMMUTATIVE GAUGE THEORIES	2001	Nikita Nekrasov	3
+	A Generalized KdV-Family with Variable Coefficients in (2 + 1) Dimensions	2005	Tadashi Kobayashi Kouichi Toda	3
+ PDF Chat	Noncommutative field theory	2001	Michael R. Douglas Nikita Nekrasov	3
+ PDF Chat	Noncommutative Instantons and Twistor Transform	2001	Anton Kapustin Alexander Kuznetsov Dmitri Olegovich Orlov	3
+ PDF Chat	Towards noncommutative integrable systems	2003	Masashi Hamanaka Kouichi Toda	3
+ PDF Chat	Effective theories of confinement	2002	Leander Dittmann T. Heinzl A. Wip	3
+ PDF Chat	Anti-self-dual Yang–Mills equations on noncommutative space–time	2001	Kanehisa Takasaki	3
+	On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems	1982	B. G. Konopelchenko	3
+ PDF Chat	Noncommutative multi-solitons in 2+1 dimensions	2001	Olaf Lechtenfeld Alexander D. Popov	3