The extended Adomian decomposition method and its application to the rotating shallow water system for the numerical pulsrodon solutions
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Publication:6649764
DOI10.1088/1572-9494/ad674fMaRDI QIDQ6649764
Li-Ying Hou, Manwai Yuen, Hong-Li An
Publication date: 6 December 2024
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)
Cites Work
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- Complexiton solutions to integrable equations
- Solving frontier problems of physics: the decomposition method
- Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems
- A new approach to the nonlinear advection problem: An application of the decomposition method
- The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation
- A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations
- Extended tanh-function method and its applications to nonlinear equations
- Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory
- Group theoretical analysis of a rotating shallow liquid in a rigid container
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- Formal variable separation approach for nonintegrable models
- Numerical Solutions of a Class of Nonlinear Evolution Equations with Nonlinear Term of Any Order
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations
- Generalized Hirota's bilinear equations and their soliton solutions
- The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid
- Some general theorems concerning the finite motion of a shallow rotating liquid lying on a paraboloid
- Symmetries and differential equations
- Darboux transformations for super-symmetric KP hierarchies
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
- A Riemann-Hilbert method to algebro-geometric solutions of the Korteweg-de Vries equation
- Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations
- On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: without solitons
- Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background
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