EPJ Special Topics (EPJ ST)

Open Access

Editorial

Editorial: soliton dynamics in complex physical systems: theory and applications p. 5385

Qin Zhou, Chaoqing Dai and Wenjun Liu

Published online: 10 October 2025

DOI: 10.1140/epjs/s11734-025-02000-4

Regular Article

Hamiltonian structures, conservation laws, and rogue wave solutions for the higher-order semi-discrete complex modified Korteweg–de Vries equation p. 5389

Ling Liu, Xiaoyong Wen, Yanbin Yin and Xinhua Zhong

Published online: 30 August 2025

DOI: 10.1140/epjs/s11734-025-01850-2

Regular Article

On the Lax integrability of a generalized fifth-order KdV model with time-dependent coefficients in fluid dynamics p. 5403

Meng’en Wang, Tianwei Qiu, Xingjia He, Hanyue Deng, Yichao Wang and Guangmei Wei

Published online: 14 August 2025

DOI: 10.1140/epjs/s11734-025-01848-w

Regular Article

Numerical simulation of internal solitary waves generation and propagation in the northern South China Sea under the influence of various factors p. 5415

Guocai Rong, Huanhe Dong, Yong Fang and Yuan Kong

Published online: 21 August 2025

DOI: 10.1140/epjs/s11734-025-01852-0

Regular Article

Bäcklund transformations and nonlinear wave solutions for an extended (2+1)-dimensional Kadomtsev–Petviashvili equation p. 5429

Guo-Hong Yang, Xue-Hui Zhao and Zhong-Zhou Lan

Published online: 19 August 2025

DOI: 10.1140/epjs/s11734-025-01853-z

Regular Article

Emergence of the dark envelope nonlinear surface waves in shallow water p. 5441

Xin-Long Bing, Wen-Shan Duan and Zhong-Zheng Li

Published online: 22 September 2025

DOI: 10.1140/epjs/s11734-025-01964-7

Regular Article

Dynamics of pulse-trains in an inhomogeneous three-mode nonlinear optical fiber p. 5453

Soumaya El-Akrmi, Houria Triki and Yaxian Liu

Published online: 18 August 2025

DOI: 10.1140/epjs/s11734-025-01851-1

Regular Article

Chirped self-similar optical solitons in cascaded quadratic media beyond the slowly varying envelope approximation p. 5467

Sassi Aouadi, Houria Triki and Baohua Wang

Published online: 16 August 2025

DOI: 10.1140/epjs/s11734-025-01861-z

Regular Article

Bright and dark solitons for the (3 + 1)-dimensional variable-coefficient coupled nonlinear Schrodinger equations in an optical fiber p. 5481

Nan Li, Pengfei Wang, Junhua Wang, Yunzhou Sun, Wenyong Cheng and Quan Chen

Published online: 14 August 2025

DOI: 10.1140/epjs/s11734-025-01847-x

Regular Article

Mixed semirational solutions in the three-component Lakshmanan–Porsezian–Daniel equation p. 5493

Yaonan Shan, Tao Xu and Ying Wang

Published online: 19 August 2025

DOI: 10.1140/epjs/s11734-025-01858-8

Regular Article

Three-component rogue wave pairs of a harmonically trapped partially nonlocal nonlinear Schrödinger system in Bose–Einstein condensation and nonlinear optics p. 5507

Xiangqian Li, Rumeng Zhao, Yihan Zhao, Jing Yang, Yu Zhu and Jitao Li

Published online: 25 September 2025

DOI: 10.1140/epjs/s11734-025-01962-9

Regular Article

Nonlinear wave investigation on a variable-coefficient Yu–Toda–Sasa–Fukuyama system in lattices or two-layer liquids p. 5521

Yuxin Song, Guangmei Wei, Haoqing Chen and Geng Tian

Published online: 18 September 2025

DOI: 10.1140/epjs/s11734-025-01956-7

Regular Article

Asymmetric modulation instability dynamics and its quantitative control in a nonlocal -symmetric nonlinear Schrödinger system p. 5535

Xin Li, Peng Gao and Wenjun Liu

Published online: 23 August 2025

DOI: 10.1140/epjs/s11734-025-01855-x

Regular Article

Rogue wave and mixed interaction solutions of the coupled nonlinear Schrödinger-type equation via the generalized -fold Darboux transformation p. 5547

Kai-Hong Yao, Xiao-Yong Wen and Meng-Chu Wei

Published online: 21 August 2025

DOI: 10.1140/epjs/s11734-025-01854-y

Regular Article

Neural network-enhanced bilinear framework for analytical soliton dynamics and wave interactions in (3+1)-dimensional Hirota–Satsuma–Ito system p. 5561

Yuwen Han, Jianhong Zhuang and Yaqing Liu

Published online: 21 August 2025

DOI: 10.1140/epjs/s11734-025-01856-w

Regular Article

Analytical solutions of generalized (3 + 1)-dimensional KP equation via neural network-augmented bilinear framework p. 5583

Junjie Li, Changlong Chen, Yan Zhu, Chuyu Huang, Xin Zhen and Runfa Zhang

Published online: 18 August 2025

DOI: 10.1140/epjs/s11734-025-01859-7

Regular Article

Data-driven solutions of a Burgers-type equation via physics-informed neural networks and Bäcklund transformation p. 5601

Ming Wang, Nan Li, Guoliang He and Tao Xu

Published online: 12 August 2025

DOI: 10.1140/epjs/s11734-025-01846-y

Regular Article

Data-driven soliton dynamics and parameter discovery of longitudinal wave equations in magneto-electro-elastic circular rods based on deep learning p. 5613

Na Lv, Wen An, Yichao Yue, Xuegang Yuan and Zekang Wu

Published online: 20 September 2025

DOI: 10.1140/epjs/s11734-025-01963-8

Regular Article

Data-driven solutions and parameter estimations for the integrable generalized fifth-order nonlinear Schrödinger equation based on physics-informed neural networks p. 5637

Jieyi Wang and Yunqing Yang

Published online: 22 September 2025

DOI: 10.1140/epjs/s11734-025-01961-w

Regular Article

Wronskian determinant solutions for the -dimensional Hirota–Satsuma–Ito-like equation p. 5653

Wang Tan, Yunhu Wang and Yizhi Zhou

Published online: 15 August 2025

DOI: 10.1140/epjs/s11734-025-01860-0

Regular Article

Stationary states of Rydberg-dressed Bose gas with anisotropic SU(3) spin–orbit coupling p. 5665

Jing Feng, Qiu-Ling He, Jia Liu, Xiao-Fei Zhang and Xue-Ying Yang

Published online: 22 August 2025

DOI: 10.1140/epjs/s11734-025-01857-9

Regular Article

Local and nonlocal self-dual network equations: bilinear approach and asymptotic analysis p. 5675

Shi-min Liu, Abdselam Silem and Da-jun Zhang

Published online: 19 August 2025

DOI: 10.1140/epjs/s11734-025-01862-y

Regular Article

A generalization of the Belov–Chaltikian lattice equation p. 5699

Shan Li

Published online: 23 September 2025

DOI: 10.1140/epjs/s11734-025-01957-6

EPJ

The European Physical Journal Special Topics

Volume 234 / No 18 (December 2025)

Soliton Dynamics in Complex Physical Systems: Theory and Applications

Editorial: soliton dynamics in complex physical systems: theory and applications p. 5385

Hamiltonian structures, conservation laws, and rogue wave solutions for the higher-order semi-discrete complex modified Korteweg–de Vries equation p. 5389

On the Lax integrability of a generalized fifth-order KdV model with time-dependent coefficients in fluid dynamics p. 5403

Numerical simulation of internal solitary waves generation and propagation in the northern South China Sea under the influence of various factors p. 5415

Bäcklund transformations and nonlinear wave solutions for an extended (2+1)-dimensional Kadomtsev–Petviashvili equation p. 5429

Emergence of the dark envelope nonlinear surface waves in shallow water p. 5441

Dynamics of pulse-trains in an inhomogeneous three-mode nonlinear optical fiber p. 5453

Chirped self-similar optical solitons in cascaded quadratic media beyond the slowly varying envelope approximation p. 5467

Bright and dark solitons for the (3 + 1)-dimensional variable-coefficient coupled nonlinear Schrodinger equations in an optical fiber p. 5481

Mixed semirational solutions in the three-component Lakshmanan–Porsezian–Daniel equation p. 5493

Three-component rogue wave pairs of a harmonically trapped partially nonlocal nonlinear Schrödinger system in Bose–Einstein condensation and nonlinear optics p. 5507

Nonlinear wave investigation on a variable-coefficient Yu–Toda–Sasa–Fukuyama system in lattices or two-layer liquids p. 5521

Asymmetric modulation instability dynamics and its quantitative control in a nonlocal -symmetric nonlinear Schrödinger system p. 5535

Rogue wave and mixed interaction solutions of the coupled nonlinear Schrödinger-type equation via the generalized -fold Darboux transformation p. 5547

Neural network-enhanced bilinear framework for analytical soliton dynamics and wave interactions in (3+1)-dimensional Hirota–Satsuma–Ito system p. 5561

Analytical solutions of generalized (3 + 1)-dimensional KP equation via neural network-augmented bilinear framework p. 5583

Data-driven solutions of a Burgers-type equation via physics-informed neural networks and Bäcklund transformation p. 5601

Data-driven soliton dynamics and parameter discovery of longitudinal wave equations in magneto-electro-elastic circular rods based on deep learning p. 5613

Data-driven solutions and parameter estimations for the integrable generalized fifth-order nonlinear Schrödinger equation based on physics-informed neural networks p. 5637

Wronskian determinant solutions for the -dimensional Hirota–Satsuma–Ito-like equation p. 5653

Stationary states of Rydberg-dressed Bose gas with anisotropic SU(3) spin–orbit coupling p. 5665

Local and nonlocal self-dual network equations: bilinear approach and asymptotic analysis p. 5675

A generalization of the Belov–Chaltikian lattice equation p. 5699

Conference announcements

EPJ

The European Physical Journal Special Topics

Volume 234 / No 18 (December 2025)

Soliton Dynamics in Complex Physical Systems: Theory and Applications

Editorial: soliton dynamics in complex physical systems: theory and applications p. 5385

Hamiltonian structures, conservation laws, and rogue wave solutions for the higher-order semi-discrete complex modified Korteweg–de Vries equation p. 5389

On the Lax integrability of a generalized fifth-order KdV model with time-dependent coefficients in fluid dynamics p. 5403

Numerical simulation of internal solitary waves generation and propagation in the northern South China Sea under the influence of various factors p. 5415

Bäcklund transformations and nonlinear wave solutions for an extended (2+1)-dimensional Kadomtsev–Petviashvili equation p. 5429

Emergence of the dark envelope nonlinear surface waves in shallow water p. 5441

Dynamics of pulse-trains in an inhomogeneous three-mode nonlinear optical fiber p. 5453

Chirped self-similar optical solitons in cascaded quadratic media beyond the slowly varying envelope approximation p. 5467

Bright and dark solitons for the (3 + 1)-dimensional variable-coefficient coupled nonlinear Schrodinger equations in an optical fiber p. 5481

Mixed semirational solutions in the three-component Lakshmanan–Porsezian–Daniel equation p. 5493

Three-component rogue wave pairs of a harmonically trapped partially nonlocal nonlinear Schrödinger system in Bose–Einstein condensation and nonlinear optics p. 5507

Nonlinear wave investigation on a variable-coefficient Yu–Toda–Sasa–Fukuyama system in lattices or two-layer liquids p. 5521

Asymmetric modulation instability dynamics and its quantitative control in a nonlocal -symmetric nonlinear Schrödinger system p. 5535

Rogue wave and mixed interaction solutions of the coupled nonlinear Schrödinger-type equation via the generalized -fold Darboux transformation p. 5547

Neural network-enhanced bilinear framework for analytical soliton dynamics and wave interactions in (3+1)-dimensional Hirota–Satsuma–Ito system p. 5561

Analytical solutions of generalized (3 + 1)-dimensional KP equation via neural network-augmented bilinear framework p. 5583

Data-driven solutions of a Burgers-type equation via physics-informed neural networks and Bäcklund transformation p. 5601

Data-driven soliton dynamics and parameter discovery of longitudinal wave equations in magneto-electro-elastic circular rods based on deep learning p. 5613

Data-driven solutions and parameter estimations for the integrable generalized fifth-order nonlinear Schrödinger equation based on physics-informed neural networks p. 5637

Wronskian determinant solutions for the -dimensional Hirota–Satsuma–Ito-like equation p. 5653

Stationary states of Rydberg-dressed Bose gas with anisotropic SU(3) spin–orbit coupling p. 5665

Local and nonlocal self-dual network equations: bilinear approach and asymptotic analysis p. 5675

A generalization of the Belov–Chaltikian lattice equation p. 5699

Share

Conference announcements