Gramian solutions and solitonic interactions of a (2+1)-dimensional Broer–Kaup–Kupershmidt system for the shallow water

Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

(2021) Dan-Yu Yang et al.   CHAOS SOLITONS & FRACTALS

Wind-induced changes to surface gravity wave shape in shallow water

(2021) Thomas Zdyrski et al.   JOURNAL OF FLUID MECHANICS

Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre

(2021) He-Yuan Tian et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

New integrable (2+1)- and (3+1)-dimensional shallow water wave equations: multiple soliton solutions and lump solutions

(2021) Abdul-Majid Wazwaz   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Painlev$$\acute{\mathrm{e}}$$ integrable condition, auto-Bäcklund transformations, Lax pair, breather, lump-periodic-wave and kink-wave solutions of a (3+1)-dimensional Hirota–Satsuma–Ito-like system for the shallow water waves

(2021) Yu-Qi Chen et al.   NONLINEAR DYNAMICS

Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid

(2021) Chong-Dong Cheng et al.   NONLINEAR DYNAMICS

Cosmic dusty plasmas via a (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili-Burgers-type equation: auto-Bäcklund transformations, solitons and similarity reductions plus observational/experimental supports

(2021) Xin-Yi Gao et al.   Waves in Random and Complex Media

Painlevé analysis, bilinear form, Bäcklund transformation, solitons, periodic waves and asymptotic properties for a generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system in a fluid or plasma

(2021) Shao-Hua Liu et al.   European Physical Journal Plus

Bäcklund transformations, kink soliton, breather- and travelling-wave solutions for a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics

(2021) Yong-Xin Ma et al.   CHINESE JOURNAL OF PHYSICS

Bäcklund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves

(2021) Tian-Yu Zhou et al.   MODERN PHYSICS LETTERS B

Vector bright solitons and their interactions of the couple Fokas–Lenells system in a birefringent optical fiber

(2020) Chen-Rong Zhang et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Homotopy perturbation method for predicting tsunami wave propagation with crisp and uncertain parameters

(2020) Perumandla Karunakar et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Reliable methods to study some nonlinear conformable systems in shallow water

(2020) Altaf A. Al-Shawba et al.   Advances in Difference Equations

Darboux-dressing transformation, semi-rational solutions, breathers and modulation instability for the cubic-quintic nonlinear Schrödinger system with variable coefficients in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide

(2020) Dan-Yu Yang et al.   PHYSICA SCRIPTA

Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

(2020) Meng Wang et al.   APPLIED MATHEMATICS LETTERS

Lump and rogue wave solutions for the Broer-Kaup-Kupershmidt system

(2020) Syed Tahir Raza Rizvi et al.   CHINESE JOURNAL OF PHYSICS

Breathers, solitons and rogue waves of the quintic nonlinear Schrödinger equation on various backgrounds

(2019) Stanko N. Nikolić et al.   NONLINEAR DYNAMICS

Dark breather waves, dark lump waves and lump wave–soliton interactions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in a fluid

(2019) Cong-Cong Hu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

Lump, mixed lump-stripe and rogue wave-stripe solutions of a (3+1)-dimensional nonlinear wave equation for a liquid with gas bubbles

(2019) Meng Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Symmetry Reductions, Group‐Invariant Solutions, and Conservation Laws of a (2+1)‐Dimensional Nonlinear Schrödinger Equation in a Heisenberg Ferromagnetic Spin Chain

(2019) Xia‐Xia Du et al.   ANNALEN DER PHYSIK

A new rational sine-Gordon expansion method and its application to nonlinear wave equations arising in mathematical physics

(2019) Serge Bruno Yamgoué et al.   European Physical Journal Plus

Analytic solution for aerodynamic noise generated by plates with spanwise-varying trailing edges

(2018) Lorna J. Ayton   JOURNAL OF FLUID MECHANICS

Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Sixth-Order Nonlinear Ramani Equation

(2018) Aliyu Aliyu et al.   Symmetry-Basel

N-solitons and cuspon waves solutions of (2 + 1)-dimensional Broer–Kaup–Kupershmidt equations via hidden symmetries of Lie optimal system

(2018) M.M. Kassem et al.   CHINESE JOURNAL OF PHYSICS

Lump, breather and solitary wave solutions to new reduced form of the generalized BKP equation

(2018) Lakhveer Kaur et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Approximate conservation laws in the KdV equation

(2018) Samer Israwi et al.   PHYSICS LETTERS A

Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication

(2018) Su-Su Chen et al.   Waves in Random and Complex Media

A computational method based on Hermite wavelets for two-dimensional Sobolev and regularized long wave equations in fluids

(2017) Ömer Oruç   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

New dynamical behavior of two waves for (2+1)-dimensional Broer-Kaup equation

(2017) Ying Jiang et al.   Journal of Nonlinear Sciences and Applications

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

(2016) Sunil Kumar et al.   NONLINEAR DYNAMICS

Solitons and other solutions of the long-short wave equation

(2015) Ghodrat Ebadi et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows

(2013) Fayssal Benkhaldoun et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Construction of KP solitons from wave patterns

(2013) Sarbarish Chakravarty et al.   Journal of Physics A-Mathematical and Theoretical

A higher order discontinuous Galerkin, global shallow water model: Global ocean tides and aquaplanet benchmarks

(2013) H. Salehipour et al.   OCEAN MODELLING

Nonlinear shallow ocean-wave soliton interactions on flat beaches

(2012) Mark J. Ablowitz et al.   PHYSICAL REVIEW E