This study used the Massachusetts Institute of Technology general circulation model (MITgcm) to simulate seabed liquefaction process in Chengdao area. The liquefied soil and overlying water are considered as a two-layer fluid system model. By constructing various topographies using Gaussian functions, it is possible achieve an agreement between simulation measurement. results reveal characteristics pore pressure different topographies. main findings include following: (1) expansion zone...

We introduce how to obtain the bilinear form and exact periodic wave solutions of a class (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional nonlinear integrable differential equations directly quickly with help generalized<mml:math id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-operators, binary Bell...

The paper presents an investigation of the generation, evolution Rossby solitary waves generated by topography in finite depth fluids. forced ILW‐ (Intermediate Long Waves‐) Burgers equation as a model governing amplitude is first derived and shown to reduce KdV‐ (Korteweg‐de Vries‐) shallow fluids BO‐ (Benjamin‐Ono‐) deep By analysis calculation, perturbation solution some conservation relations ILW‐Burgers are obtained. Finally, with help pseudospectral method, numerical solutions given....

From rotational potential vorticity-conserved equation with topography effect and dissipation effect, the help of multiple-scale method, a new integro-differential is constructed to describe Rossby solitary waves in deep fluids. By analyzing equation, some conservation laws associated are derived. Finally, by seeking numerical solutions pseudospectral virtue waterfall plots, detuning parameter on generated discussed, compared KdV BO equation. The results show that parameter<mml:math...

Flux pinning and flux creep behaviour for the H//c axis have been investigated on a set of MTG (Y1-xPrx)Ba2Cu3O7- delta (x<or=0.08) samples. The critical current densities Jc, apparent potential U0* effective activation energy Ueff(J,T) derived from corresponding magnetic hysteresis relaxation measurements. qualitative temperature field dependences are found to be unaffected by Pr doping, up highest concentration level, in present study. temperature-dependent profiles normalized rate S show...

We detected the responses of summertime extreme wave heights (H top10 , average highest 10% significant in June, July and August) to local climate variations East China Sea by applying an empirical orthogonal function analysis H derived from WAVEWATCH‐III model driven 6 hourly sea surface wind fields ERA‐40 reanalysis over period 1958–2002. Decreases northern (Yellow Sea) correspond attenuation Asian Summer Monsoon, while increases south are primarily due enhancement tropical cyclone...

By using a weakly nonlinear and perturbation method, the generalized inhomogeneous Korteweg—de Vries (KdV)—Burgers equation is derived, which governs evolution of amplitude Rossby waves under influence dissipation slowly varying topography with time. The analysis indicates that time are important factors in causing variation mass energy solitary waves.

We discuss the Lie point symmetries and discrete of inviscid Burgers equation. By employing group method infinitesimal transformations, symmetry reductions similarity solutions governing equation are given. Based on analysis, two groups obtained, which lead to new exact

By measuring the magnetization hysteresis loops and remanent relaxation for an epitaxial ${\mathrm{Tl}}_{2}$${\mathrm{Ba}}_{2}$${\mathrm{CaCu}}_{2}$${\mathrm{O}}_{8}$ thin film, we determined temperature dependence of experimental critical current density j(T) normalized rate S(T) at ${\mathit{B}}_{\mathit{e}}$=0.4 T. It is shown that data can be well fitted to single vortex creep model with only one fitting parameter in each process. The were then used as input generalized inversion scheme...

A generalized Boussinesq equation that includes the dissipation effect is derived to describe a kind of algebraic Rossby solitary waves in rotating fluid by employing perturbation expansions and stretching transformations time space. Using this equation, conservation laws are discussed. It found mass, momentum, energy, velocity center gravity conserved propagation process. Finally, analytical solution generated. Based on solution, properties The results point out that, similar classic waves,...

By means of the Lie algebra B2, a new extended F is constructed. Based on algebras B2 and F, nonlinear Schrödinger—modified Korteweg de Vries (NLS—mKdV) hierarchy with self-consistent sources as well its integrable couplings are derived. With help variational identity, their Hamiltonian structures generated.

With the help of known Lie algebra, a type new 8-dimensional matrix algebra is constructed in paper. By using nonlinear integrable couplings Levi hierarchy and Wadati-Konno-Ichikawa (WKI) are worked out, which different from linear couplings. Based on variational identity, Hamiltonian structures above hierarchies derived.

Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure the integrable constructed by using discrete quadratic-form identity. Liouville integrability demonstrated. Finally, with self-consistent sources

The dissipative nonlinear Schrödinger equation with a forcing item is derived by using of multiple scales analysis and perturbation method as mathematical model describing envelope solitary Rossby waves dissipation effect external in rotational stratified fluids. By analyzing the evolution amplitude waves, it found that shear basic flow, Brunt–Vaisala frequency β are important factors forming waves. employing Jacobi elliptic function expansion Hirota's direct method, analytic solutions...