Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons

New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives

(2019) P. Veeresha et al.   CHAOS

Negative refraction of plane electromagnetic waves in non-uniform double-negative media

(2019) L. A. Pazynin et al.   OPTICS LETTERS

Optical soliton solutions, explicit power series solutions and linear stability analysis of the quintic derivative nonlinear Schrödinger equation

(2019) Wenhao Liu et al.   OPTICAL AND QUANTUM ELECTRONICS

On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics

(2019) Ting-Ting Jia et al.   NONLINEAR DYNAMICS

Generalized Darboux Transformations, Rogue Waves, and Modulation Instability for the Coherently Coupled Nonlinear Schrödinger Equations in Nonlinear Optics

(2019) Su-Su Chen et al.   ANNALEN DER PHYSIK

Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics

(2019) Meng Wang et al.   CHINESE JOURNAL OF PHYSICS

Solution for fractional Zakharov–Kuznetsov equations by using two reliable techniques

(2019) P. Veeresha et al.   CHINESE JOURNAL OF PHYSICS

Dark solitonic interactions for the (3 + 1)-dimensional coupled nonlinear Schrödinger equations in nonlinear optical fibers

(2019) Zhong-Zhou Lan   OPTICS AND LASER TECHNOLOGY

A novel technique for (2+1)-dimensional time-fractional coupled Burgers equations

(2019) P. Veeresha et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation

(2019) Zhong-Zhou Lan et al.   APPLIED MATHEMATICAL MODELLING

Degeneracy in bright-dark solitons of the Derivative Nonlinear Schrödinger equation

(2018) Shuwei Xu et al.   APPLIED MATHEMATICS LETTERS

Soliton Resolution for the Derivative Nonlinear Schrödinger Equation

(2018) Robert Jenkins et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein

(2018) Zhong Du et al.   Communications in Nonlinear Science and Numerical Simulation

Solitons for the (2 + 1)-dimensional Konopelchenko–Dubrovsky equations

(2018) Yu-Qiang Yuan et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Solitons interaction and integrability for a (2+1)-dimensional variable-coefficient Broer–Kaup system in water waves

(2018) Xue-Hui Zhao et al.   MODERN PHYSICS LETTERS B

Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate

(2018) W. Zhang et al.   NONLINEAR DYNAMICS

Mixed interactions of localized waves in the three-component coupled derivative nonlinear Schrödinger equations

(2018) Tao Xu et al.   NONLINEAR DYNAMICS

Gray and black optical solitons with quintic nonlinearity

(2018) Houria Triki et al.   OPTIK

Periodic oscillations of dark solitons in nonlinear optics

(2018) Weitian Yu et al.   OPTIK

Superconducting metamaterials

(2018) N. Lazarides et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Mixed lump-kink and rogue wave-kink solutions for a (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics

(2018) Cong-Cong Hu et al.   European Physical Journal Plus

Lump wave-soliton and rogue wave-soliton interactions for a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation in a fluid

(2018) Cong-Cong Hu et al.   CHINESE JOURNAL OF PHYSICS

Numerical solutions of a variable-coefficient nonlinear Schrödinger equation for an inhomogeneous optical fiber

(2018) Hui-Min Yin et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Exact solutions of a generalized variant of the derivative nonlinear Schrodinger equation in a Scarff II external potential and their stability properties

(2018) Avinash Khare et al.   Journal of Physics A-Mathematical and Theoretical

Vector breathers with the negatively coherent coupling in a weakly birefringent fiber

(2018) Chen-Rong Zhang et al.   WAVE MOTION

Lie group analysis, analytic solutions and conservation laws of the (3 + 1)-dimensional Zakharov-Kuznetsov-Burgers equation in a collisionless magnetized electron-positron-ion plasma

(2018) Xia-Xia Du et al.   European Physical Journal Plus

Vector semirational rogue waves for a coupled nonlinear Schrödinger system in a birefringent fiber

(2018) Yu-Qiang Yuan et al.   APPLIED MATHEMATICS LETTERS

Chaotic Wave Motions and Chaotic Dynamic Responses of Piezoelectric Laminated Composite Rectangular Thin Plate under Combined Transverse and In-Plane Excitations

(2018) W. Zhang et al.   International Journal of Applied Mechanics

Mathematical view with observational/experimental consideration on certain (2+1)-dimensional waves in the cosmic/laboratory dusty plasmas

(2018) Xin-Yi Gao   APPLIED MATHEMATICS LETTERS

Dark and gray solitons of ( $$2+1$$ 2 + 1 )-dimensional nonlocal nonlinear media with periodic response function

(2017) Yahong Hu et al.   NONLINEAR DYNAMICS

Abundant solutions of various physical features for the (2+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation

(2017) Abdul-Majid Wazwaz   NONLINEAR DYNAMICS

Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Davey-Stewartson system on surface waves of finite depth

(2017) Xue-Hui Zhao et al.   Waves in Random and Complex Media

A simple early warning method for large internal solitary waves in the northern South China Sea

(2016) Youkai Li et al.   APPLIED OCEAN RESEARCH

Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrödinger equation

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Stationary Solitary Waves in Turbulent Open-Channel Flow: Analysis and Experimental Verification

(2016) Wilhelm Schneider et al.   JOURNAL OF HYDRAULIC ENGINEERING

A new trial equation method for finding exact chirped soliton solutions of the quintic derivative nonlinear Schrödinger equation with variable coefficients

(2016) Houria Triki et al.   Waves in Random and Complex Media

Stationary Solitary Waves in Turbulent Open-Channel Flow: Analysis and Experimental Verification

(2016) Wilhelm Schneider et al.   JOURNAL OF HYDRAULIC ENGINEERING

Darboux Transformation of the Second-Type Derivative Nonlinear Schrödinger Equation

(2015) Yongshuai Zhang et al.   LETTERS IN MATHEMATICAL PHYSICS

Complex nonlinearities of rogue waves in generalized inhomogeneous higher-order nonlinear Schrödinger equation

(2015) N. Song et al.   NONLINEAR DYNAMICS

Madelung fluid description on a generalized mixed nonlinear Schrödinger equation

(2015) Xing Lü   NONLINEAR DYNAMICS

Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model

(2015) Xing Lü et al.   NONLINEAR DYNAMICS

Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium

(2015) Rui Guo et al.   NONLINEAR DYNAMICS

Envelope solitary waves and dark solitons at a water-ice interface

(2015) A. T. Il’ichev   Proceedings of the Steklov Institute of Mathematics

Hydrodynamics of offshore structures with specific focus on wind energy applications

(2015) M.A. Benitz et al.   RENEWABLE & SUSTAINABLE ENERGY REVIEWS

Soliton behavior for a generalized mixed nonlinear Schrödinger model with N-fold Darboux transformation

(2013) Xing Lü   CHAOS

Localized pulses for the quintic derivative nonlinear Schrödinger equation on a continuous-wave background

(2012) C. Rogers et al.   PHYSICAL REVIEW E

Water Wave Packets Over Variable Depth

(2011) R. H. J. Grimshaw et al.   STUDIES IN APPLIED MATHEMATICS

Soliton-like solutions of a derivative nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers

(2010) Min Li et al.   NONLINEAR DYNAMICS

Dark and antidark solitons in the modified nonlinear Schrödinger equation accounting for the self-steepening effect

(2010) Min Li et al.   PHYSICAL REVIEW E

Surface Josephson Plasma Waves in Layered Superconductors above the Plasma Frequency: Evidence for a Negative Index of Refraction

(2010) V. A. Golick et al.   PHYSICAL REVIEW LETTERS