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The connection between nonlinear extension of Maxwell's equations, blackbody spectrum, Lorentz force and quantum mechanics. [PDF]

Sci Rep
Kumar S.
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N-soliton solutions for the sine-Hilbert equation

N-soliton solutions for the sine-Hilbert equation
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Elliptic N-soliton Solutions of ABS Lattice Equations

International Mathematics Research Notices, 2010
Elliptic N-soliton-type solutions, that is, solutions emerging from the application of N consecutive Backlund transformations to an elliptic seed solution, are constructed for all equations in the Adler-Bobenko-Suris (ABS) list of quadrilateral lattice equations, except for the case of the Q4 equation which is treated elsewhere.
F. Nijhoff, J. Atkinson
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On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice

Theoretical and Mathematical Physics, 2023
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Shi, Leilei, Du, Dianlou
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N-soliton solutions to the modified Boussinesq equation

Journal of Shanghai University (English Edition), 2009
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Li, Qiong, Xia, Tiecheng, Chen, Dengyuan
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N-soliton and quasi-periodic solutions of the KdV6 equations

Applied Mathematics and Computation, 2012
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Xianguo Geng, Bo Xue 0003
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N-soliton solutions for the nonlocal Fokas–Lenells equation via RHP

Applied Mathematics Letters, 2021
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Jian Li, Tiecheng Xia
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n-Soliton solution of the modified nonlinear Schrödinger equation

Optics Letters, 1990
An n-soliton solution of the modified nonlinear Schrödinger equation is presented, and its relationship to the nonlinear Schrödinger equation is given.
Z Y, Chen, N N, Huang
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A Simple Derivation of the N-Soliton Solutions to the Korteweg--deVries Equation

SIAM Journal on Applied Mathematics, 1998
Summary: The N-soliton solutions to the Korteweg-deVries (KdV) equation are derived from Wentzel-Kramers-Brilbuin (WKB) theory without using inverse scattering theory. Only elementary manipulations are needed to construct the solutions.
Brian R. Seymour, Eric Varley
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N-Soliton Solutions for Nonlocal Lattice Equations

Journal of the Physical Society of Japan, 1999
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